I am not quite sure if Sunday or Monday, but I will post again when it begins. It will be a 50-game match between Critter 1.6a 64-bit & Bouquet 1.6 pop64, for "all the marbles" so to speak. No doubt Critter will be the favorite- but that may or may not show up in the final tally. Stay tuned.
george
The FREEWARE Group Championship Matches Have Begun
Moderator: Ras
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
-
Ajedrecista
- Posts: 2132
- Joined: Wed Jul 13, 2011 9:04 pm
- Location: Madrid, Spain.
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
Hello George!
I did not find a popcnt version for Bouquet 1.6 so I take the rating of non-popcnt version.
I used Probabilities_in_a_trinomial_distribution again, under the next assumptions:
Here are the probabilities for a 30-game match:
Summarizing (hoping no typos):
Maybe I should add some code that will do the sums of the last code box automatically. Due to roundings, the sum of the probabilities of the last code box is 99.9999 % instead of 100 %. My intention is to release this tool and another one (a kind of EloSTAT (without error bars and other interesting statistics, just the plain ratings) for Round Robin tournaments that do not need PGN input files, that I wrote back in 2012) together with my other four Fortran programmes... the release date should be in the second half of February, when I will not be as busy as now. I have to write the Readme files of these two unreleased programmes.
I stay tuned! Thank you very much for this huge freeware tournament.
Regards from Spain.
Ajedrecista.
Sorry for this long post. I took a look on CCRL 40/40 list and I found the following info:geots wrote:I am not quite sure if Sunday or Monday, but I will post again when it begins. It will be a 50-game match between Critter 1.6a 64-bit & Bouquet 1.6 pop64, for "all the marbles" so to speak. No doubt Critter will be the favorite- but that may or may not show up in the final tally. Stay tuned.
george
Code: Select all
Critter 1.6a 64-bit (3104); 55.7 % of draws.
Bouquet 1.6 64-bit (3062); 59 % of draws.I used Probabilities_in_a_trinomial_distribution again, under the next assumptions:
Code: Select all
(Rating difference) = 3104 - 3062 = 42 Elo.
(Probability of a draw) = (55.7 % + 59 %)/2 = 57.35 %.Code: Select all
Probabilities_in_a_trinomial_distribution, ® 2013.
--------------------------------------------------------------------
Probabilities of all possible scores in a match between two engines.
--------------------------------------------------------------------
Write down the number of games of the match (up to 50):
30
Write down the engines rating difference (between -800 Elo and 800 Elo):
42
Probability of a draw (%) between 0 % and 87.96 %
57.35
Write down the clock rate of the CPU (in GHz), only for timing the elapsed time of the calculations:
3
The results have been saved to Probabilities.txt file.
End of the calculations. Approximated elapsed time: 108 ms.
Thanks for using Probabilities_in_a_trinomial_distribution. Press Enter to exit.
Code: Select all
Probabilities for a match of 30 games (rounded up to 0.0001%):
Rating difference (rounded up to 0.01 Elo): 42.00 Elo.
Probability of a win = W ~ 27.3400 %
Probability of a draw = D ~ 57.3500 %
Probability of a lose = L ~ 15.3100 %
----------------------------------------------------
Points: 30.0/30
+30 = 0 - 0
P ~ 0.0000 %
Probability of win 30.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 29.5/30
+29 = 1 - 0
P ~ 0.0000 %
Probability of win 29.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 29.0/30
+28 = 2 - 0
P ~ 0.0000 %
+29 = 0 - 1
P ~ 0.0000 %
Probability of win 29.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 28.5/30
+27 = 3 - 0
P ~ 0.0000 %
+28 = 1 - 1
P ~ 0.0000 %
Probability of win 28.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 28.0/30
+26 = 4 - 0
P ~ 0.0000 %
+27 = 2 - 1
P ~ 0.0000 %
+28 = 0 - 2
P ~ 0.0000 %
Probability of win 28.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 27.5/30
+25 = 5 - 0
P ~ 0.0000 %
+26 = 3 - 1
P ~ 0.0000 %
+27 = 1 - 2
P ~ 0.0000 %
Probability of win 27.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 27.0/30
+24 = 6 - 0
P ~ 0.0000 %
+25 = 4 - 1
P ~ 0.0000 %
+26 = 2 - 2
P ~ 0.0000 %
+27 = 0 - 3
P ~ 0.0000 %
Probability of win 27.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 26.5/30
+23 = 7 - 0
P ~ 0.0000 %
+24 = 5 - 1
P ~ 0.0000 %
+25 = 3 - 2
P ~ 0.0000 %
+26 = 1 - 3
P ~ 0.0000 %
Probability of win 26.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 26.0/30
+22 = 8 - 0
P ~ 0.0000 %
+23 = 6 - 1
P ~ 0.0000 %
+24 = 4 - 2
P ~ 0.0000 %
+25 = 2 - 3
P ~ 0.0000 %
+26 = 0 - 4
P ~ 0.0000 %
Probability of win 26.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 25.5/30
+21 = 9 - 0
P ~ 0.0000 %
+22 = 7 - 1
P ~ 0.0000 %
+23 = 5 - 2
P ~ 0.0000 %
+24 = 3 - 3
P ~ 0.0000 %
+25 = 1 - 4
P ~ 0.0000 %
Probability of win 25.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 25.0/30
+20 =10 - 0
P ~ 0.0001 %
+21 = 8 - 1
P ~ 0.0000 %
+22 = 6 - 2
P ~ 0.0000 %
+23 = 4 - 3
P ~ 0.0000 %
+24 = 2 - 4
P ~ 0.0000 %
+25 = 0 - 5
P ~ 0.0000 %
Probability of win 25.0 points out of 30: 0.0001 %
----------------------------------------------------
Points: 24.5/30
+19 =11 - 0
P ~ 0.0002 %
+20 = 9 - 1
P ~ 0.0002 %
+21 = 7 - 2
P ~ 0.0000 %
+22 = 5 - 3
P ~ 0.0000 %
+23 = 3 - 4
P ~ 0.0000 %
+24 = 1 - 5
P ~ 0.0000 %
Probability of win 24.5 points out of 30: 0.0004 %
----------------------------------------------------
Points: 24.0/30
+18 =12 - 0
P ~ 0.0008 %
+19 =10 - 1
P ~ 0.0007 %
+20 = 8 - 2
P ~ 0.0002 %
+21 = 6 - 3
P ~ 0.0000 %
+22 = 4 - 4
P ~ 0.0000 %
+23 = 2 - 5
P ~ 0.0000 %
+24 = 0 - 6
P ~ 0.0000 %
Probability of win 24.0 points out of 30: 0.0017 %
----------------------------------------------------
Points: 23.5/30
+17 =13 - 0
P ~ 0.0023 %
+18 =11 - 1
P ~ 0.0026 %
+19 = 9 - 2
P ~ 0.0009 %
+20 = 7 - 3
P ~ 0.0001 %
+21 = 5 - 4
P ~ 0.0000 %
+22 = 3 - 5
P ~ 0.0000 %
+23 = 1 - 6
P ~ 0.0000 %
Probability of win 23.5 points out of 30: 0.0060 %
----------------------------------------------------
Points: 23.0/30
+16 =14 - 0
P ~ 0.0059 %
+17 =12 - 1
P ~ 0.0080 %
+18 =10 - 2
P ~ 0.0038 %
+19 = 8 - 3
P ~ 0.0008 %
+20 = 6 - 4
P ~ 0.0001 %
+21 = 4 - 5
P ~ 0.0000 %
+22 = 2 - 6
P ~ 0.0000 %
+23 = 0 - 7
P ~ 0.0000 %
Probability of win 23.0 points out of 30: 0.0185 %
----------------------------------------------------
Points: 22.5/30
+15 =15 - 0
P ~ 0.0132 %
+16 =13 - 1
P ~ 0.0221 %
+17 =11 - 2
P ~ 0.0129 %
+18 = 9 - 3
P ~ 0.0033 %
+19 = 7 - 4
P ~ 0.0004 %
+20 = 5 - 5
P ~ 0.0000 %
+21 = 3 - 6
P ~ 0.0000 %
+22 = 1 - 7
P ~ 0.0000 %
Probability of win 22.5 points out of 30: 0.0519 %
----------------------------------------------------
Points: 22.0/30
+14 =16 - 0
P ~ 0.0260 %
+15 =14 - 1
P ~ 0.0529 %
+16 =12 - 2
P ~ 0.0383 %
+17 =10 - 3
P ~ 0.0126 %
+18 = 8 - 4
P ~ 0.0020 %
+19 = 6 - 5
P ~ 0.0002 %
+20 = 4 - 6
P ~ 0.0000 %
+21 = 2 - 7
P ~ 0.0000 %
+22 = 0 - 8
P ~ 0.0000 %
Probability of win 22.0 points out of 30: 0.1319 %
----------------------------------------------------
Points: 21.5/30
+13 =17 - 0
P ~ 0.0449 %
+14 =15 - 1
P ~ 0.1109 %
+15 =13 - 2
P ~ 0.0988 %
+16 =11 - 3
P ~ 0.0409 %
+17 = 9 - 4
P ~ 0.0084 %
+18 = 7 - 5
P ~ 0.0009 %
+19 = 5 - 6
P ~ 0.0000 %
+20 = 3 - 7
P ~ 0.0000 %
+21 = 1 - 8
P ~ 0.0000 %
Probability of win 21.5 points out of 30: 0.3047 %
----------------------------------------------------
Points: 21.0/30
+12 =18 - 0
P ~ 0.0679 %
+13 =16 - 1
P ~ 0.2035 %
+14 =14 - 2
P ~ 0.2220 %
+15 =12 - 3
P ~ 0.1143 %
+16 =10 - 4
P ~ 0.0300 %
+17 = 8 - 5
P ~ 0.0040 %
+18 = 6 - 6
P ~ 0.0003 %
+19 = 4 - 7
P ~ 0.0000 %
+20 = 2 - 8
P ~ 0.0000 %
+21 = 0 - 9
P ~ 0.0000 %
Probability of win 21.0 points out of 30: 0.6421 %
----------------------------------------------------
Points: 20.5/30
+11 =19 - 0
P ~ 0.0900 %
+12 =17 - 1
P ~ 0.3265 %
+13 =15 - 2
P ~ 0.4347 %
+14 =13 - 3
P ~ 0.2766 %
+15 =11 - 4
P ~ 0.0915 %
+16 = 9 - 5
P ~ 0.0160 %
+17 = 7 - 6
P ~ 0.0014 %
+18 = 5 - 7
P ~ 0.0001 %
+19 = 3 - 8
P ~ 0.0000 %
+20 = 1 - 9
P ~ 0.0000 %
Probability of win 20.5 points out of 30: 1.2369 %
----------------------------------------------------
Points: 20.0/30
+10 =20 - 0
P ~ 0.1039 %
+11 =18 - 1
P ~ 0.4566 %
+12 =16 - 2
P ~ 0.7409 %
+13 =14 - 3
P ~ 0.5802 %
+14 =12 - 4
P ~ 0.2400 %
+15 =10 - 5
P ~ 0.0538 %
+16 = 8 - 6
P ~ 0.0064 %
+17 = 6 - 7
P ~ 0.0004 %
+18 = 4 - 8
P ~ 0.0000 %
+19 = 2 - 9
P ~ 0.0000 %
+20 = 0 -10
P ~ 0.0000 %
Probability of win 20.0 points out of 30: 2.1821 %
----------------------------------------------------
Points: 19.5/30
+ 9 =21 - 0
P ~ 0.1037 %
+10 =19 - 1
P ~ 0.5545 %
+11 =17 - 2
P ~ 1.0970 %
+12 =15 - 3
P ~ 1.0548 %
+13 =13 - 4
P ~ 0.5421 %
+14 =11 - 5
P ~ 0.1538 %
+15 = 9 - 6
P ~ 0.0239 %
+16 = 7 - 7
P ~ 0.0020 %
+17 = 5 - 8
P ~ 0.0001 %
+18 = 3 - 9
P ~ 0.0000 %
+19 = 1 -10
P ~ 0.0000 %
Probability of win 19.5 points out of 30: 3.5319 %
----------------------------------------------------
Points: 19.0/30
+ 8 =22 - 0
P ~ 0.0890 %
+ 9 =20 - 1
P ~ 0.5816 %
+10 =18 - 2
P ~ 1.4063 %
+11 =16 - 3
P ~ 1.6595 %
+12 =14 - 4
P ~ 1.0560 %
+13 =12 - 5
P ~ 0.3763 %
+14 =10 - 6
P ~ 0.0753 %
+15 = 8 - 7
P ~ 0.0082 %
+16 = 6 - 8
P ~ 0.0005 %
+17 = 4 - 9
P ~ 0.0000 %
+18 = 2 -10
P ~ 0.0000 %
+19 = 0 -11
P ~ 0.0000 %
Probability of win 19.0 points out of 30: 5.2526 %
----------------------------------------------------
Points: 18.5/30
+ 7 =23 - 0
P ~ 0.0650 %
+ 8 =21 - 1
P ~ 0.5228 %
+ 9 =19 - 2
P ~ 1.5526 %
+10 =17 - 3
P ~ 2.2525 %
+11 =15 - 4
P ~ 1.7721 %
+12 =13 - 5
P ~ 0.7893 %
+13 =11 - 6
P ~ 0.2009 %
+14 = 9 - 7
P ~ 0.0287 %
+15 = 7 - 8
P ~ 0.0022 %
+16 = 5 - 9
P ~ 0.0001 %
+17 = 3 -10
P ~ 0.0000 %
+18 = 1 -11
P ~ 0.0000 %
Probability of win 18.5 points out of 30: 7.1861 %
----------------------------------------------------
Points: 18.0/30
+ 6 =24 - 0
P ~ 0.0397 %
+ 7 =22 - 1
P ~ 0.3988 %
+ 8 =20 - 2
P ~ 1.4655 %
+ 9 =18 - 3
P ~ 2.6249 %
+10 =16 - 4
P ~ 2.5556 %
+11 =14 - 5
P ~ 1.4192 %
+12 =12 - 6
P ~ 0.4565 %
+13 =10 - 7
P ~ 0.0843 %
+14 = 8 - 8
P ~ 0.0086 %
+15 = 6 - 9
P ~ 0.0005 %
+16 = 4 -10
P ~ 0.0000 %
+17 = 2 -11
P ~ 0.0000 %
+18 = 0 -12
P ~ 0.0000 %
Probability of win 18.0 points out of 30: 9.0537 %
----------------------------------------------------
Points: 17.5/30
+ 5 =25 - 0
P ~ 0.0200 %
+ 6 =23 - 1
P ~ 0.2546 %
+ 7 =21 - 2
P ~ 1.1711 %
+ 8 =19 - 3
P ~ 2.6082 %
+ 9 =17 - 4
P ~ 3.1534 %
+10 =15 - 5
P ~ 2.1831 %
+11 =13 - 6
P ~ 0.8840 %
+12 =11 - 7
P ~ 0.2089 %
+13 = 9 - 8
P ~ 0.0281 %
+14 = 7 - 9
P ~ 0.0020 %
+15 = 5 -10
P ~ 0.0001 %
+16 = 3 -11
P ~ 0.0000 %
+17 = 1 -12
P ~ 0.0000 %
Probability of win 17.5 points out of 30: 10.5136 %
----------------------------------------------------
Points: 17.0/30
+ 4 =26 - 0
P ~ 0.0081 %
+ 5 =24 - 1
P ~ 0.1335 %
+ 6 =22 - 2
P ~ 0.7816 %
+ 7 =20 - 3
P ~ 2.1885 %
+ 8 =18 - 4
P ~ 3.3073 %
+ 9 =16 - 5
P ~ 2.8622 %
+10 =14 - 6
P ~ 1.4570 %
+11 =12 - 7
P ~ 0.4383 %
+12 =10 - 8
P ~ 0.0767 %
+13 = 8 - 9
P ~ 0.0075 %
+14 = 6 -10
P ~ 0.0004 %
+15 = 4 -11
P ~ 0.0000 %
+16 = 2 -12
P ~ 0.0000 %
+17 = 0 -13
P ~ 0.0000 %
Probability of win 17.0 points out of 30: 11.2610 %
----------------------------------------------------
Points: 16.5/30
+ 3 =27 - 0
P ~ 0.0025 %
+ 4 =25 - 1
P ~ 0.0560 %
+ 5 =23 - 2
P ~ 0.4277 %
+ 6 =21 - 3
P ~ 1.5302 %
+ 7 =19 - 4
P ~ 2.9211 %
+ 8 =17 - 5
P ~ 3.1785 %
+ 9 =15 - 6
P ~ 2.0375 %
+10 =13 - 7
P ~ 0.7779 %
+11 =11 - 8
P ~ 0.1755 %
+12 = 9 - 9
P ~ 0.0227 %
+13 = 7 -10
P ~ 0.0016 %
+14 = 5 -11
P ~ 0.0001 %
+15 = 3 -12
P ~ 0.0000 %
+16 = 1 -13
P ~ 0.0000 %
Probability of win 16.5 points out of 30: 11.1314 %
----------------------------------------------------
Points: 16.0/30
+ 2 =28 - 0
P ~ 0.0006 %
+ 3 =26 - 1
P ~ 0.0181 %
+ 4 =24 - 2
P ~ 0.1869 %
+ 5 =22 - 3
P ~ 0.8754 %
+ 6 =20 - 4
P ~ 2.1446 %
+ 7 =18 - 5
P ~ 2.9633 %
+ 8 =16 - 6
P ~ 2.4041 %
+ 9 =14 - 7
P ~ 1.1656 %
+10 =12 - 8
P ~ 0.3375 %
+11 =10 - 9
P ~ 0.0573 %
+12 = 8 -10
P ~ 0.0055 %
+13 = 6 -11
P ~ 0.0003 %
+14 = 4 -12
P ~ 0.0000 %
+15 = 2 -13
P ~ 0.0000 %
+16 = 0 -14
P ~ 0.0000 %
Probability of win 16.0 points out of 30: 10.1591 %
----------------------------------------------------
Points: 15.5/30
+ 1 =29 - 0
P ~ 0.0001 %
+ 2 =27 - 1
P ~ 0.0042 %
+ 3 =25 - 2
P ~ 0.0627 %
+ 4 =23 - 3
P ~ 0.3992 %
+ 5 =21 - 4
P ~ 1.2853 %
+ 6 =19 - 5
P ~ 2.2901 %
+ 7 =17 - 6
P ~ 2.3732 %
+ 8 =15 - 7
P ~ 1.4670 %
+ 9 =13 - 8
P ~ 0.5445 %
+10 =11 - 9
P ~ 0.1201 %
+11 = 9 -10
P ~ 0.0153 %
+12 = 7 -11
P ~ 0.0011 %
+13 = 5 -12
P ~ 0.0000 %
+14 = 3 -13
P ~ 0.0000 %
+15 = 1 -14
P ~ 0.0000 %
Probability of win 15.5 points out of 30: 8.5629 %
----------------------------------------------------
Points: 15.0/30
+ 0 =30 - 0
P ~ 0.0000 %
+ 1 =28 - 1
P ~ 0.0006 %
+ 2 =26 - 2
P ~ 0.0152 %
+ 3 =24 - 3
P ~ 0.1396 %
+ 4 =22 - 4
P ~ 0.6128 %
+ 5 =20 - 5
P ~ 1.4411 %
+ 6 =18 - 6
P ~ 1.9360 %
+ 7 =16 - 7
P ~ 1.5386 %
+ 8 =14 - 8
P ~ 0.7343 %
+ 9 =12 - 9
P ~ 0.2100 %
+10 =10 -10
P ~ 0.0353 %
+11 = 8 -11
P ~ 0.0033 %
+12 = 6 -12
P ~ 0.0002 %
+13 = 4 -13
P ~ 0.0000 %
+14 = 2 -14
P ~ 0.0000 %
+15 = 0 -15
P ~ 0.0000 %
Probability of win 15.0 points out of 30: 6.6669 %
----------------------------------------------------
Points: 14.5/30
+ 0 =29 - 1
P ~ 0.0000 %
+ 1 =27 - 2
P ~ 0.0024 %
+ 2 =25 - 3
P ~ 0.0351 %
+ 3 =23 - 4
P ~ 0.2235 %
+ 4 =21 - 5
P ~ 0.7198 %
+ 5 =19 - 6
P ~ 1.2824 %
+ 6 =17 - 7
P ~ 1.3290 %
+ 7 =15 - 8
P ~ 0.8215 %
+ 8 =13 - 9
P ~ 0.3049 %
+ 9 =11 -10
P ~ 0.0673 %
+10 = 9 -11
P ~ 0.0086 %
+11 = 7 -12
P ~ 0.0006 %
+12 = 5 -13
P ~ 0.0000 %
+13 = 3 -14
P ~ 0.0000 %
+14 = 1 -15
P ~ 0.0000 %
Probability of win 14.5 points out of 30: 4.7951 %
----------------------------------------------------
Points: 14.0/30
+ 0 =28 - 2
P ~ 0.0002 %
+ 1 =26 - 3
P ~ 0.0057 %
+ 2 =24 - 4
P ~ 0.0586 %
+ 3 =22 - 5
P ~ 0.2745 %
+ 4 =20 - 6
P ~ 0.6725 %
+ 5 =18 - 7
P ~ 0.9292 %
+ 6 =16 - 8
P ~ 0.7539 %
+ 7 =14 - 9
P ~ 0.3655 %
+ 8 =12 -10
P ~ 0.1058 %
+ 9 =10 -11
P ~ 0.0180 %
+10 = 8 -12
P ~ 0.0017 %
+11 = 6 -13
P ~ 0.0001 %
+12 = 4 -14
P ~ 0.0000 %
+13 = 2 -15
P ~ 0.0000 %
+14 = 0 -16
P ~ 0.0000 %
Probability of win 14.0 points out of 30: 3.1857 %
----------------------------------------------------
Points: 13.5/30
+ 0 =27 - 3
P ~ 0.0004 %
+ 1 =25 - 4
P ~ 0.0098 %
+ 2 =23 - 5
P ~ 0.0751 %
+ 3 =21 - 6
P ~ 0.2687 %
+ 4 =19 - 7
P ~ 0.5130 %
+ 5 =17 - 8
P ~ 0.5581 %
+ 6 =15 - 9
P ~ 0.3578 %
+ 7 =13 -10
P ~ 0.1366 %
+ 8 =11 -11
P ~ 0.0308 %
+ 9 = 9 -12
P ~ 0.0040 %
+10 = 7 -13
P ~ 0.0003 %
+11 = 5 -14
P ~ 0.0000 %
+12 = 3 -15
P ~ 0.0000 %
+13 = 1 -16
P ~ 0.0000 %
Probability of win 13.5 points out of 30: 1.9547 %
----------------------------------------------------
Points: 13.0/30
+ 0 =26 - 4
P ~ 0.0008 %
+ 1 =24 - 5
P ~ 0.0131 %
+ 2 =22 - 6
P ~ 0.0769 %
+ 3 =20 - 7
P ~ 0.2152 %
+ 4 =18 - 8
P ~ 0.3252 %
+ 5 =16 - 9
P ~ 0.2814 %
+ 6 =14 -10
P ~ 0.1433 %
+ 7 =12 -11
P ~ 0.0431 %
+ 8 =10 -12
P ~ 0.0075 %
+ 9 = 8 -13
P ~ 0.0007 %
+10 = 6 -14
P ~ 0.0000 %
+11 = 4 -15
P ~ 0.0000 %
+12 = 2 -16
P ~ 0.0000 %
+13 = 0 -17
P ~ 0.0000 %
Probability of win 13.0 points out of 30: 1.1073 %
----------------------------------------------------
Points: 12.5/30
+ 0 =25 - 5
P ~ 0.0011 %
+ 1 =23 - 6
P ~ 0.0140 %
+ 2 =21 - 7
P ~ 0.0645 %
+ 3 =19 - 8
P ~ 0.1436 %
+ 4 =17 - 9
P ~ 0.1736 %
+ 5 =15 -10
P ~ 0.1202 %
+ 6 =13 -11
P ~ 0.0487 %
+ 7 =11 -12
P ~ 0.0115 %
+ 8 = 9 -13
P ~ 0.0015 %
+ 9 = 7 -14
P ~ 0.0001 %
+10 = 5 -15
P ~ 0.0000 %
+11 = 3 -16
P ~ 0.0000 %
+12 = 1 -17
P ~ 0.0000 %
Probability of win 12.5 points out of 30: 0.5789 %
----------------------------------------------------
Points: 12.0/30
+ 0 =24 - 6
P ~ 0.0012 %
+ 1 =22 - 7
P ~ 0.0123 %
+ 2 =20 - 8
P ~ 0.0452 %
+ 3 =18 - 9
P ~ 0.0809 %
+ 4 =16 -10
P ~ 0.0788 %
+ 5 =14 -11
P ~ 0.0438 %
+ 6 =12 -12
P ~ 0.0141 %
+ 7 =10 -13
P ~ 0.0026 %
+ 8 = 8 -14
P ~ 0.0003 %
+ 9 = 6 -15
P ~ 0.0000 %
+10 = 4 -16
P ~ 0.0000 %
+11 = 2 -17
P ~ 0.0000 %
+12 = 0 -18
P ~ 0.0000 %
Probability of win 12.0 points out of 30: 0.2792 %
----------------------------------------------------
Points: 11.5/30
+ 0 =23 - 7
P ~ 0.0011 %
+ 1 =21 - 8
P ~ 0.0090 %
+ 2 =19 - 9
P ~ 0.0268 %
+ 3 =17 -10
P ~ 0.0389 %
+ 4 =15 -11
P ~ 0.0306 %
+ 5 =13 -12
P ~ 0.0136 %
+ 6 =11 -13
P ~ 0.0035 %
+ 7 = 9 -14
P ~ 0.0005 %
+ 8 = 7 -15
P ~ 0.0000 %
+ 9 = 5 -16
P ~ 0.0000 %
+10 = 3 -17
P ~ 0.0000 %
+11 = 1 -18
P ~ 0.0000 %
Probability of win 11.5 points out of 30: 0.1241 %
----------------------------------------------------
Points: 11.0/30
+ 0 =22 - 8
P ~ 0.0009 %
+ 1 =20 - 9
P ~ 0.0056 %
+ 2 =18 -10
P ~ 0.0136 %
+ 3 =16 -11
P ~ 0.0160 %
+ 4 =14 -12
P ~ 0.0102 %
+ 5 =12 -13
P ~ 0.0036 %
+ 6 =10 -14
P ~ 0.0007 %
+ 7 = 8 -15
P ~ 0.0001 %
+ 8 = 6 -16
P ~ 0.0000 %
+ 9 = 4 -17
P ~ 0.0000 %
+10 = 2 -18
P ~ 0.0000 %
+11 = 0 -19
P ~ 0.0000 %
Probability of win 11.0 points out of 30: 0.0508 %
----------------------------------------------------
Points: 10.5/30
+ 0 =21 - 9
P ~ 0.0006 %
+ 1 =19 -10
P ~ 0.0030 %
+ 2 =17 -11
P ~ 0.0059 %
+ 3 =15 -12
P ~ 0.0057 %
+ 4 =13 -13
P ~ 0.0029 %
+ 5 =11 -14
P ~ 0.0008 %
+ 6 = 9 -15
P ~ 0.0001 %
+ 7 = 7 -16
P ~ 0.0000 %
+ 8 = 5 -17
P ~ 0.0000 %
+ 9 = 3 -18
P ~ 0.0000 %
+10 = 1 -19
P ~ 0.0000 %
Probability of win 10.5 points out of 30: 0.0191 %
----------------------------------------------------
Points: 10.0/30
+ 0 =20 -10
P ~ 0.0003 %
+ 1 =18 -11
P ~ 0.0014 %
+ 2 =16 -12
P ~ 0.0022 %
+ 3 =14 -13
P ~ 0.0018 %
+ 4 =12 -14
P ~ 0.0007 %
+ 5 =10 -15
P ~ 0.0002 %
+ 6 = 8 -16
P ~ 0.0000 %
+ 7 = 6 -17
P ~ 0.0000 %
+ 8 = 4 -18
P ~ 0.0000 %
+ 9 = 2 -19
P ~ 0.0000 %
+10 = 0 -20
P ~ 0.0000 %
Probability of win 10.0 points out of 30: 0.0066 %
----------------------------------------------------
Points: 9.5/30
+ 0 =19 -11
P ~ 0.0002 %
+ 1 =17 -12
P ~ 0.0006 %
+ 2 =15 -13
P ~ 0.0007 %
+ 3 =13 -14
P ~ 0.0005 %
+ 4 =11 -15
P ~ 0.0002 %
+ 5 = 9 -16
P ~ 0.0000 %
+ 6 = 7 -17
P ~ 0.0000 %
+ 7 = 5 -18
P ~ 0.0000 %
+ 8 = 3 -19
P ~ 0.0000 %
+ 9 = 1 -20
P ~ 0.0000 %
Probability of win 9.5 points out of 30: 0.0021 %
----------------------------------------------------
Points: 9.0/30
+ 0 =18 -12
P ~ 0.0001 %
+ 1 =16 -13
P ~ 0.0002 %
+ 2 =14 -14
P ~ 0.0002 %
+ 3 =12 -15
P ~ 0.0001 %
+ 4 =10 -16
P ~ 0.0000 %
+ 5 = 8 -17
P ~ 0.0000 %
+ 6 = 6 -18
P ~ 0.0000 %
+ 7 = 4 -19
P ~ 0.0000 %
+ 8 = 2 -20
P ~ 0.0000 %
+ 9 = 0 -21
P ~ 0.0000 %
Probability of win 9.0 points out of 30: 0.0006 %
----------------------------------------------------
Points: 8.5/30
+ 0 =17 -13
P ~ 0.0000 %
+ 1 =15 -14
P ~ 0.0001 %
+ 2 =13 -15
P ~ 0.0001 %
+ 3 =11 -16
P ~ 0.0000 %
+ 4 = 9 -17
P ~ 0.0000 %
+ 5 = 7 -18
P ~ 0.0000 %
+ 6 = 5 -19
P ~ 0.0000 %
+ 7 = 3 -20
P ~ 0.0000 %
+ 8 = 1 -21
P ~ 0.0000 %
Probability of win 8.5 points out of 30: 0.0002 %
----------------------------------------------------
Points: 8.0/30
+ 0 =16 -14
P ~ 0.0000 %
+ 1 =14 -15
P ~ 0.0000 %
+ 2 =12 -16
P ~ 0.0000 %
+ 3 =10 -17
P ~ 0.0000 %
+ 4 = 8 -18
P ~ 0.0000 %
+ 5 = 6 -19
P ~ 0.0000 %
+ 6 = 4 -20
P ~ 0.0000 %
+ 7 = 2 -21
P ~ 0.0000 %
+ 8 = 0 -22
P ~ 0.0000 %
Probability of win 8.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 7.5/30
+ 0 =15 -15
P ~ 0.0000 %
+ 1 =13 -16
P ~ 0.0000 %
+ 2 =11 -17
P ~ 0.0000 %
+ 3 = 9 -18
P ~ 0.0000 %
+ 4 = 7 -19
P ~ 0.0000 %
+ 5 = 5 -20
P ~ 0.0000 %
+ 6 = 3 -21
P ~ 0.0000 %
+ 7 = 1 -22
P ~ 0.0000 %
Probability of win 7.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 7.0/30
+ 0 =14 -16
P ~ 0.0000 %
+ 1 =12 -17
P ~ 0.0000 %
+ 2 =10 -18
P ~ 0.0000 %
+ 3 = 8 -19
P ~ 0.0000 %
+ 4 = 6 -20
P ~ 0.0000 %
+ 5 = 4 -21
P ~ 0.0000 %
+ 6 = 2 -22
P ~ 0.0000 %
+ 7 = 0 -23
P ~ 0.0000 %
Probability of win 7.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 6.5/30
+ 0 =13 -17
P ~ 0.0000 %
+ 1 =11 -18
P ~ 0.0000 %
+ 2 = 9 -19
P ~ 0.0000 %
+ 3 = 7 -20
P ~ 0.0000 %
+ 4 = 5 -21
P ~ 0.0000 %
+ 5 = 3 -22
P ~ 0.0000 %
+ 6 = 1 -23
P ~ 0.0000 %
Probability of win 6.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 6.0/30
+ 0 =12 -18
P ~ 0.0000 %
+ 1 =10 -19
P ~ 0.0000 %
+ 2 = 8 -20
P ~ 0.0000 %
+ 3 = 6 -21
P ~ 0.0000 %
+ 4 = 4 -22
P ~ 0.0000 %
+ 5 = 2 -23
P ~ 0.0000 %
+ 6 = 0 -24
P ~ 0.0000 %
Probability of win 6.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 5.5/30
+ 0 =11 -19
P ~ 0.0000 %
+ 1 = 9 -20
P ~ 0.0000 %
+ 2 = 7 -21
P ~ 0.0000 %
+ 3 = 5 -22
P ~ 0.0000 %
+ 4 = 3 -23
P ~ 0.0000 %
+ 5 = 1 -24
P ~ 0.0000 %
Probability of win 5.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 5.0/30
+ 0 =10 -20
P ~ 0.0000 %
+ 1 = 8 -21
P ~ 0.0000 %
+ 2 = 6 -22
P ~ 0.0000 %
+ 3 = 4 -23
P ~ 0.0000 %
+ 4 = 2 -24
P ~ 0.0000 %
+ 5 = 0 -25
P ~ 0.0000 %
Probability of win 5.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 4.5/30
+ 0 = 9 -21
P ~ 0.0000 %
+ 1 = 7 -22
P ~ 0.0000 %
+ 2 = 5 -23
P ~ 0.0000 %
+ 3 = 3 -24
P ~ 0.0000 %
+ 4 = 1 -25
P ~ 0.0000 %
Probability of win 4.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 4.0/30
+ 0 = 8 -22
P ~ 0.0000 %
+ 1 = 6 -23
P ~ 0.0000 %
+ 2 = 4 -24
P ~ 0.0000 %
+ 3 = 2 -25
P ~ 0.0000 %
+ 4 = 0 -26
P ~ 0.0000 %
Probability of win 4.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 3.5/30
+ 0 = 7 -23
P ~ 0.0000 %
+ 1 = 5 -24
P ~ 0.0000 %
+ 2 = 3 -25
P ~ 0.0000 %
+ 3 = 1 -26
P ~ 0.0000 %
Probability of win 3.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 3.0/30
+ 0 = 6 -24
P ~ 0.0000 %
+ 1 = 4 -25
P ~ 0.0000 %
+ 2 = 2 -26
P ~ 0.0000 %
+ 3 = 0 -27
P ~ 0.0000 %
Probability of win 3.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 2.5/30
+ 0 = 5 -25
P ~ 0.0000 %
+ 1 = 3 -26
P ~ 0.0000 %
+ 2 = 1 -27
P ~ 0.0000 %
Probability of win 2.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 2.0/30
+ 0 = 4 -26
P ~ 0.0000 %
+ 1 = 2 -27
P ~ 0.0000 %
+ 2 = 0 -28
P ~ 0.0000 %
Probability of win 2.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 1.5/30
+ 0 = 3 -27
P ~ 0.0000 %
+ 1 = 1 -28
P ~ 0.0000 %
Probability of win 1.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 1.0/30
+ 0 = 2 -28
P ~ 0.0000 %
+ 1 = 0 -29
P ~ 0.0000 %
Probability of win 1.0 points out of 30: 0.0000 %
----------------------------------------------------
Points: 0.5/30
+ 0 = 1 -29
P ~ 0.0000 %
Probability of win 0.5 points out of 30: 0.0000 %
----------------------------------------------------
Points: 0.0/30
+ 0 = 0 -30
P ~ 0.0000 %
Probability of win 0.0 points out of 30: 0.0000 %Code: Select all
Prob.(Critter wins the 30-game match) ~ 81.2286 %.
Prob.(tied match) ~ 6.6669 %.
Prob.(Bouquet wins the 30-game match) ~ 12.1044 %.I stay tuned! Thank you very much for this huge freeware tournament.
Regards from Spain.
Ajedrecista.
-
Ajedrecista
- Posts: 2132
- Joined: Wed Jul 13, 2011 9:04 pm
- Location: Madrid, Spain.
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
Hello again:
I hope it is clearer now. Here is the end of the new Probabilities.txt output file:
So I do not have to sum again probabilities by hand in a non-started match to know the accumulated probabilities of win, draw or lose the match for the first engine. Other thing is when the match has started and the score is not tied... then I have to sum probabilities by hand as before, and simply ignore this new end of the output file. The rest of the programme, calculations and printed results remain unchanged.
Regards from Spain.
Ajedrecista.
Only a quick update: I have just added this piece of code (it was trivial, only a few lines) and I made some minor cosmetic changes to what is printed in the cmd window:Ajedrecista wrote:Summarizing (hoping no typos):
Maybe I should add some code that will do the sums of the last code box automatically. Due to roundings, the sum of the probabilities of the last code box is 99.9999 % instead of 100 %.Code: Select all
Prob.(Critter wins the 30-game match) ~ 81.2286 %. Prob.(tied match) ~ 6.6669 %. Prob.(Bouquet wins the 30-game match) ~ 12.1044 %.
Code: Select all
Probabilities_in_a_trinomial_distribution, ® 2013.
--------------------------------------------------------------------
Probabilities of all possible scores in a match between two engines.
--------------------------------------------------------------------
Write down the number of games of the match (up to 50):
30
Write down the engines rating difference (between -800 Elo and 800 Elo).
Elo(first engine) - Elo(second engine):
42
Write down the probability of a draw (%) between 0 % and 87.96 %
57.35
Write down the clock rate of the CPU (in GHz), only for timing the elapsed time of the calculations:
3
End of the calculations. The results will be saved into Probabilities.txt at the same path of this programme.
The results have been successfully saved into Probabilities.txt file.
Approximated total elapsed time: 115 ms.
Thanks for using Probabilities_in_a_trinomial_distribution. Press Enter to exit.
Code: Select all
[...]
Points: 0.0/30
+ 0 = 0 -30
P ~ 0.0000 %
Probability of win 0.0 points out of 30: 0.0000 %
--------------------------------------------------------------
SUMMARIZE:
Probability that the first engine wins the match ~ 81.2286 %
Probability of a tied match ~ 6.6669 %
Probability that the second engine wins the match ~ 12.1045 %Regards from Spain.
Ajedrecista.
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
Jesus, I don't know how much it matters in your figures, but take note that this match for Group 1 championship is 50 games!
Thanks,
george
Thanks,
george
-
Ajedrecista
- Posts: 2132
- Joined: Wed Jul 13, 2011 9:04 pm
- Location: Madrid, Spain.
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
Hi again:
It looks bad for Bouquet but the match as not started yet!
Regards from Spain.
Ajedrecista.
I missed it! Of course more games will benefit the stronger engine, Critter in this case. Here I go:geots wrote:Jesus, I don't know how much it matters in your figures, but take note that this match for Group 1 championship is 50 games!
Thanks,
george
Code: Select all
Probabilities_in_a_trinomial_distribution, ® 2013.
--------------------------------------------------------------------
Probabilities of all possible scores in a match between two engines.
--------------------------------------------------------------------
Write down the number of games of the match (up to 50):
50
Write down the engines rating difference (between -800 Elo and 800 Elo).
Elo(first engine) - Elo(second engine):
42
Write down the probability of a draw (%) between 0 % and 87.96 %
57.35
Write down the clock rate of the CPU (in GHz), only for timing the elapsed time of the calculations:
3
End of the calculations. The results will be saved into Probabilities.txt at the same path of this programme.
The results have been successfully saved into Probabilities.txt file.
Approximated total elapsed time: 258 ms.
Thanks for using Probabilities_in_a_trinomial_distribution. Press Enter to exit.
Code: Select all
Probabilities for a match of 50 games (rounded up to 0.0001%):
Rating difference (rounded up to 0.01 Elo): 42.00 Elo.
Probability of a win = W ~ 27.3400 %
Probability of a draw = D ~ 57.3500 %
Probability of a lose = L ~ 15.3100 %
----------------------------------------------------
Points: 50.0/50
+50 = 0 - 0
P ~ 0.0000 %
Probability of win 50.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 49.5/50
+49 = 1 - 0
P ~ 0.0000 %
Probability of win 49.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 49.0/50
+48 = 2 - 0
P ~ 0.0000 %
+49 = 0 - 1
P ~ 0.0000 %
Probability of win 49.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 48.5/50
+47 = 3 - 0
P ~ 0.0000 %
+48 = 1 - 1
P ~ 0.0000 %
Probability of win 48.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 48.0/50
+46 = 4 - 0
P ~ 0.0000 %
+47 = 2 - 1
P ~ 0.0000 %
+48 = 0 - 2
P ~ 0.0000 %
Probability of win 48.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 47.5/50
+45 = 5 - 0
P ~ 0.0000 %
+46 = 3 - 1
P ~ 0.0000 %
+47 = 1 - 2
P ~ 0.0000 %
Probability of win 47.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 47.0/50
+44 = 6 - 0
P ~ 0.0000 %
+45 = 4 - 1
P ~ 0.0000 %
+46 = 2 - 2
P ~ 0.0000 %
+47 = 0 - 3
P ~ 0.0000 %
Probability of win 47.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 46.5/50
+43 = 7 - 0
P ~ 0.0000 %
+44 = 5 - 1
P ~ 0.0000 %
+45 = 3 - 2
P ~ 0.0000 %
+46 = 1 - 3
P ~ 0.0000 %
Probability of win 46.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 46.0/50
+42 = 8 - 0
P ~ 0.0000 %
+43 = 6 - 1
P ~ 0.0000 %
+44 = 4 - 2
P ~ 0.0000 %
+45 = 2 - 3
P ~ 0.0000 %
+46 = 0 - 4
P ~ 0.0000 %
Probability of win 46.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 45.5/50
+41 = 9 - 0
P ~ 0.0000 %
+42 = 7 - 1
P ~ 0.0000 %
+43 = 5 - 2
P ~ 0.0000 %
+44 = 3 - 3
P ~ 0.0000 %
+45 = 1 - 4
P ~ 0.0000 %
Probability of win 45.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 45.0/50
+40 =10 - 0
P ~ 0.0000 %
+41 = 8 - 1
P ~ 0.0000 %
+42 = 6 - 2
P ~ 0.0000 %
+43 = 4 - 3
P ~ 0.0000 %
+44 = 2 - 4
P ~ 0.0000 %
+45 = 0 - 5
P ~ 0.0000 %
Probability of win 45.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 44.5/50
+39 =11 - 0
P ~ 0.0000 %
+40 = 9 - 1
P ~ 0.0000 %
+41 = 7 - 2
P ~ 0.0000 %
+42 = 5 - 3
P ~ 0.0000 %
+43 = 3 - 4
P ~ 0.0000 %
+44 = 1 - 5
P ~ 0.0000 %
Probability of win 44.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 44.0/50
+38 =12 - 0
P ~ 0.0000 %
+39 =10 - 1
P ~ 0.0000 %
+40 = 8 - 2
P ~ 0.0000 %
+41 = 6 - 3
P ~ 0.0000 %
+42 = 4 - 4
P ~ 0.0000 %
+43 = 2 - 5
P ~ 0.0000 %
+44 = 0 - 6
P ~ 0.0000 %
Probability of win 44.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 43.5/50
+37 =13 - 0
P ~ 0.0000 %
+38 =11 - 1
P ~ 0.0000 %
+39 = 9 - 2
P ~ 0.0000 %
+40 = 7 - 3
P ~ 0.0000 %
+41 = 5 - 4
P ~ 0.0000 %
+42 = 3 - 5
P ~ 0.0000 %
+43 = 1 - 6
P ~ 0.0000 %
Probability of win 43.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 43.0/50
+36 =14 - 0
P ~ 0.0000 %
+37 =12 - 1
P ~ 0.0000 %
+38 =10 - 2
P ~ 0.0000 %
+39 = 8 - 3
P ~ 0.0000 %
+40 = 6 - 4
P ~ 0.0000 %
+41 = 4 - 5
P ~ 0.0000 %
+42 = 2 - 6
P ~ 0.0000 %
+43 = 0 - 7
P ~ 0.0000 %
Probability of win 43.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 42.5/50
+35 =15 - 0
P ~ 0.0000 %
+36 =13 - 1
P ~ 0.0000 %
+37 =11 - 2
P ~ 0.0000 %
+38 = 9 - 3
P ~ 0.0000 %
+39 = 7 - 4
P ~ 0.0000 %
+40 = 5 - 5
P ~ 0.0000 %
+41 = 3 - 6
P ~ 0.0000 %
+42 = 1 - 7
P ~ 0.0000 %
Probability of win 42.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 42.0/50
+34 =16 - 0
P ~ 0.0000 %
+35 =14 - 1
P ~ 0.0000 %
+36 =12 - 2
P ~ 0.0000 %
+37 =10 - 3
P ~ 0.0000 %
+38 = 8 - 4
P ~ 0.0000 %
+39 = 6 - 5
P ~ 0.0000 %
+40 = 4 - 6
P ~ 0.0000 %
+41 = 2 - 7
P ~ 0.0000 %
+42 = 0 - 8
P ~ 0.0000 %
Probability of win 42.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 41.5/50
+33 =17 - 0
P ~ 0.0000 %
+34 =15 - 1
P ~ 0.0000 %
+35 =13 - 2
P ~ 0.0000 %
+36 =11 - 3
P ~ 0.0000 %
+37 = 9 - 4
P ~ 0.0000 %
+38 = 7 - 5
P ~ 0.0000 %
+39 = 5 - 6
P ~ 0.0000 %
+40 = 3 - 7
P ~ 0.0000 %
+41 = 1 - 8
P ~ 0.0000 %
Probability of win 41.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 41.0/50
+32 =18 - 0
P ~ 0.0000 %
+33 =16 - 1
P ~ 0.0000 %
+34 =14 - 2
P ~ 0.0000 %
+35 =12 - 3
P ~ 0.0000 %
+36 =10 - 4
P ~ 0.0000 %
+37 = 8 - 5
P ~ 0.0000 %
+38 = 6 - 6
P ~ 0.0000 %
+39 = 4 - 7
P ~ 0.0000 %
+40 = 2 - 8
P ~ 0.0000 %
+41 = 0 - 9
P ~ 0.0000 %
Probability of win 41.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 40.5/50
+31 =19 - 0
P ~ 0.0000 %
+32 =17 - 1
P ~ 0.0000 %
+33 =15 - 2
P ~ 0.0000 %
+34 =13 - 3
P ~ 0.0000 %
+35 =11 - 4
P ~ 0.0000 %
+36 = 9 - 5
P ~ 0.0000 %
+37 = 7 - 6
P ~ 0.0000 %
+38 = 5 - 7
P ~ 0.0000 %
+39 = 3 - 8
P ~ 0.0000 %
+40 = 1 - 9
P ~ 0.0000 %
Probability of win 40.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 40.0/50
+30 =20 - 0
P ~ 0.0000 %
+31 =18 - 1
P ~ 0.0000 %
+32 =16 - 2
P ~ 0.0000 %
+33 =14 - 3
P ~ 0.0000 %
+34 =12 - 4
P ~ 0.0000 %
+35 =10 - 5
P ~ 0.0000 %
+36 = 8 - 6
P ~ 0.0000 %
+37 = 6 - 7
P ~ 0.0000 %
+38 = 4 - 8
P ~ 0.0000 %
+39 = 2 - 9
P ~ 0.0000 %
+40 = 0 -10
P ~ 0.0000 %
Probability of win 40.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 39.5/50
+29 =21 - 0
P ~ 0.0000 %
+30 =19 - 1
P ~ 0.0000 %
+31 =17 - 2
P ~ 0.0000 %
+32 =15 - 3
P ~ 0.0000 %
+33 =13 - 4
P ~ 0.0000 %
+34 =11 - 5
P ~ 0.0000 %
+35 = 9 - 6
P ~ 0.0000 %
+36 = 7 - 7
P ~ 0.0000 %
+37 = 5 - 8
P ~ 0.0000 %
+38 = 3 - 9
P ~ 0.0000 %
+39 = 1 -10
P ~ 0.0000 %
Probability of win 39.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 39.0/50
+28 =22 - 0
P ~ 0.0000 %
+29 =20 - 1
P ~ 0.0000 %
+30 =18 - 2
P ~ 0.0000 %
+31 =16 - 3
P ~ 0.0000 %
+32 =14 - 4
P ~ 0.0000 %
+33 =12 - 5
P ~ 0.0000 %
+34 =10 - 6
P ~ 0.0000 %
+35 = 8 - 7
P ~ 0.0000 %
+36 = 6 - 8
P ~ 0.0000 %
+37 = 4 - 9
P ~ 0.0000 %
+38 = 2 -10
P ~ 0.0000 %
+39 = 0 -11
P ~ 0.0000 %
Probability of win 39.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 38.5/50
+27 =23 - 0
P ~ 0.0000 %
+28 =21 - 1
P ~ 0.0000 %
+29 =19 - 2
P ~ 0.0000 %
+30 =17 - 3
P ~ 0.0000 %
+31 =15 - 4
P ~ 0.0000 %
+32 =13 - 5
P ~ 0.0000 %
+33 =11 - 6
P ~ 0.0000 %
+34 = 9 - 7
P ~ 0.0000 %
+35 = 7 - 8
P ~ 0.0000 %
+36 = 5 - 9
P ~ 0.0000 %
+37 = 3 -10
P ~ 0.0000 %
+38 = 1 -11
P ~ 0.0000 %
Probability of win 38.5 points out of 50: 0.0001 %
----------------------------------------------------
Points: 38.0/50
+26 =24 - 0
P ~ 0.0000 %
+27 =22 - 1
P ~ 0.0001 %
+28 =20 - 2
P ~ 0.0001 %
+29 =18 - 3
P ~ 0.0001 %
+30 =16 - 4
P ~ 0.0000 %
+31 =14 - 5
P ~ 0.0000 %
+32 =12 - 6
P ~ 0.0000 %
+33 =10 - 7
P ~ 0.0000 %
+34 = 8 - 8
P ~ 0.0000 %
+35 = 6 - 9
P ~ 0.0000 %
+36 = 4 -10
P ~ 0.0000 %
+37 = 2 -11
P ~ 0.0000 %
+38 = 0 -12
P ~ 0.0000 %
Probability of win 38.0 points out of 50: 0.0004 %
----------------------------------------------------
Points: 37.5/50
+25 =25 - 0
P ~ 0.0001 %
+26 =23 - 1
P ~ 0.0003 %
+27 =21 - 2
P ~ 0.0003 %
+28 =19 - 3
P ~ 0.0002 %
+29 =17 - 4
P ~ 0.0001 %
+30 =15 - 5
P ~ 0.0000 %
+31 =13 - 6
P ~ 0.0000 %
+32 =11 - 7
P ~ 0.0000 %
+33 = 9 - 8
P ~ 0.0000 %
+34 = 7 - 9
P ~ 0.0000 %
+35 = 5 -10
P ~ 0.0000 %
+36 = 3 -11
P ~ 0.0000 %
+37 = 1 -12
P ~ 0.0000 %
Probability of win 37.5 points out of 50: 0.0010 %
----------------------------------------------------
Points: 37.0/50
+24 =26 - 0
P ~ 0.0002 %
+25 =24 - 1
P ~ 0.0006 %
+26 =22 - 2
P ~ 0.0009 %
+27 =20 - 3
P ~ 0.0006 %
+28 =18 - 4
P ~ 0.0003 %
+29 =16 - 5
P ~ 0.0001 %
+30 =14 - 6
P ~ 0.0000 %
+31 =12 - 7
P ~ 0.0000 %
+32 =10 - 8
P ~ 0.0000 %
+33 = 8 - 9
P ~ 0.0000 %
+34 = 6 -10
P ~ 0.0000 %
+35 = 4 -11
P ~ 0.0000 %
+36 = 2 -12
P ~ 0.0000 %
+37 = 0 -13
P ~ 0.0000 %
Probability of win 37.0 points out of 50: 0.0027 %
----------------------------------------------------
Points: 36.5/50
+23 =27 - 0
P ~ 0.0004 %
+24 =25 - 1
P ~ 0.0014 %
+25 =23 - 2
P ~ 0.0021 %
+26 =21 - 3
P ~ 0.0017 %
+27 =19 - 4
P ~ 0.0008 %
+28 =17 - 5
P ~ 0.0003 %
+29 =15 - 6
P ~ 0.0001 %
+30 =13 - 7
P ~ 0.0000 %
+31 =11 - 8
P ~ 0.0000 %
+32 = 9 - 9
P ~ 0.0000 %
+33 = 7 -10
P ~ 0.0000 %
+34 = 5 -11
P ~ 0.0000 %
+35 = 3 -12
P ~ 0.0000 %
+36 = 1 -13
P ~ 0.0000 %
Probability of win 36.5 points out of 50: 0.0067 %
----------------------------------------------------
Points: 36.0/50
+22 =28 - 0
P ~ 0.0006 %
+23 =26 - 1
P ~ 0.0026 %
+24 =24 - 2
P ~ 0.0045 %
+25 =22 - 3
P ~ 0.0042 %
+26 =20 - 4
P ~ 0.0024 %
+27 =18 - 5
P ~ 0.0009 %
+28 =16 - 6
P ~ 0.0002 %
+29 =14 - 7
P ~ 0.0000 %
+30 =12 - 8
P ~ 0.0000 %
+31 =10 - 9
P ~ 0.0000 %
+32 = 8 -10
P ~ 0.0000 %
+33 = 6 -11
P ~ 0.0000 %
+34 = 4 -12
P ~ 0.0000 %
+35 = 2 -13
P ~ 0.0000 %
+36 = 0 -14
P ~ 0.0000 %
Probability of win 36.0 points out of 50: 0.0155 %
----------------------------------------------------
Points: 35.5/50
+21 =29 - 0
P ~ 0.0010 %
+22 =27 - 1
P ~ 0.0047 %
+23 =25 - 2
P ~ 0.0091 %
+24 =23 - 3
P ~ 0.0096 %
+25 =21 - 4
P ~ 0.0062 %
+26 =19 - 5
P ~ 0.0026 %
+27 =17 - 6
P ~ 0.0007 %
+28 =15 - 7
P ~ 0.0001 %
+29 =13 - 8
P ~ 0.0000 %
+30 =11 - 9
P ~ 0.0000 %
+31 = 9 -10
P ~ 0.0000 %
+32 = 7 -11
P ~ 0.0000 %
+33 = 5 -12
P ~ 0.0000 %
+34 = 3 -13
P ~ 0.0000 %
+35 = 1 -14
P ~ 0.0000 %
Probability of win 35.5 points out of 50: 0.0340 %
----------------------------------------------------
Points: 35.0/50
+20 =30 - 0
P ~ 0.0015 %
+21 =28 - 1
P ~ 0.0077 %
+22 =26 - 2
P ~ 0.0169 %
+23 =24 - 3
P ~ 0.0202 %
+24 =22 - 4
P ~ 0.0148 %
+25 =20 - 5
P ~ 0.0070 %
+26 =18 - 6
P ~ 0.0022 %
+27 =16 - 7
P ~ 0.0004 %
+28 =14 - 8
P ~ 0.0001 %
+29 =12 - 9
P ~ 0.0000 %
+30 =10 -10
P ~ 0.0000 %
+31 = 8 -11
P ~ 0.0000 %
+32 = 6 -12
P ~ 0.0000 %
+33 = 4 -13
P ~ 0.0000 %
+34 = 2 -14
P ~ 0.0000 %
+35 = 0 -15
P ~ 0.0000 %
Probability of win 35.0 points out of 50: 0.0707 %
----------------------------------------------------
Points: 34.5/50
+19 =31 - 0
P ~ 0.0020 %
+20 =29 - 1
P ~ 0.0117 %
+21 =27 - 2
P ~ 0.0288 %
+22 =25 - 3
P ~ 0.0390 %
+23 =23 - 4
P ~ 0.0324 %
+24 =21 - 5
P ~ 0.0174 %
+25 =19 - 6
P ~ 0.0062 %
+26 =17 - 7
P ~ 0.0015 %
+27 =15 - 8
P ~ 0.0002 %
+28 =13 - 9
P ~ 0.0000 %
+29 =11 -10
P ~ 0.0000 %
+30 = 9 -11
P ~ 0.0000 %
+31 = 7 -12
P ~ 0.0000 %
+32 = 5 -13
P ~ 0.0000 %
+33 = 3 -14
P ~ 0.0000 %
+34 = 1 -15
P ~ 0.0000 %
Probability of win 34.5 points out of 50: 0.1393 %
----------------------------------------------------
Points: 34.0/50
+18 =32 - 0
P ~ 0.0025 %
+19 =30 - 1
P ~ 0.0164 %
+20 =28 - 2
P ~ 0.0454 %
+21 =26 - 3
P ~ 0.0693 %
+22 =24 - 4
P ~ 0.0651 %
+23 =22 - 5
P ~ 0.0398 %
+24 =20 - 6
P ~ 0.0162 %
+25 =18 - 7
P ~ 0.0045 %
+26 =16 - 8
P ~ 0.0008 %
+27 =14 - 9
P ~ 0.0001 %
+28 =12 -10
P ~ 0.0000 %
+29 =10 -11
P ~ 0.0000 %
+30 = 8 -12
P ~ 0.0000 %
+31 = 6 -13
P ~ 0.0000 %
+32 = 4 -14
P ~ 0.0000 %
+33 = 2 -15
P ~ 0.0000 %
+34 = 0 -16
P ~ 0.0000 %
Probability of win 34.0 points out of 50: 0.2600 %
----------------------------------------------------
Points: 33.5/50
+17 =33 - 0
P ~ 0.0028 %
+18 =31 - 1
P ~ 0.0211 %
+19 =29 - 2
P ~ 0.0656 %
+20 =27 - 3
P ~ 0.1130 %
+21 =25 - 4
P ~ 0.1202 %
+22 =23 - 5
P ~ 0.0834 %
+23 =21 - 6
P ~ 0.0389 %
+24 =19 - 7
P ~ 0.0124 %
+25 =17 - 8
P ~ 0.0027 %
+26 =15 - 9
P ~ 0.0004 %
+27 =13 -10
P ~ 0.0000 %
+28 =11 -11
P ~ 0.0000 %
+29 = 9 -12
P ~ 0.0000 %
+30 = 7 -13
P ~ 0.0000 %
+31 = 5 -14
P ~ 0.0000 %
+32 = 3 -15
P ~ 0.0000 %
+33 = 1 -16
P ~ 0.0000 %
Probability of win 33.5 points out of 50: 0.4606 %
----------------------------------------------------
Points: 33.0/50
+16 =34 - 0
P ~ 0.0030 %
+17 =32 - 1
P ~ 0.0249 %
+18 =30 - 2
P ~ 0.0872 %
+19 =28 - 3
P ~ 0.1693 %
+20 =26 - 4
P ~ 0.2036 %
+21 =24 - 5
P ~ 0.1604 %
+22 =22 - 6
P ~ 0.0854 %
+23 =20 - 7
P ~ 0.0312 %
+24 =18 - 8
P ~ 0.0079 %
+25 =16 - 9
P ~ 0.0014 %
+26 =14 -10
P ~ 0.0002 %
+27 =12 -11
P ~ 0.0000 %
+28 =10 -12
P ~ 0.0000 %
+29 = 8 -13
P ~ 0.0000 %
+30 = 6 -14
P ~ 0.0000 %
+31 = 4 -15
P ~ 0.0000 %
+32 = 2 -16
P ~ 0.0000 %
+33 = 0 -17
P ~ 0.0000 %
Probability of win 33.0 points out of 50: 0.7743 %
----------------------------------------------------
Points: 32.5/50
+15 =35 - 0
P ~ 0.0028 %
+16 =33 - 1
P ~ 0.0269 %
+17 =31 - 2
P ~ 0.1062 %
+18 =29 - 3
P ~ 0.2327 %
+19 =27 - 4
P ~ 0.3164 %
+20 =25 - 5
P ~ 0.2827 %
+21 =23 - 6
P ~ 0.1713 %
+22 =21 - 7
P ~ 0.0716 %
+23 =19 - 8
P ~ 0.0208 %
+24 =17 - 9
P ~ 0.0042 %
+25 =15 -10
P ~ 0.0006 %
+26 =13 -11
P ~ 0.0001 %
+27 =11 -12
P ~ 0.0000 %
+28 = 9 -13
P ~ 0.0000 %
+29 = 7 -14
P ~ 0.0000 %
+30 = 5 -15
P ~ 0.0000 %
+31 = 3 -16
P ~ 0.0000 %
+32 = 1 -17
P ~ 0.0000 %
Probability of win 32.5 points out of 50: 1.2363 %
----------------------------------------------------
Points: 32.0/50
+14 =36 - 0
P ~ 0.0025 %
+15 =34 - 1
P ~ 0.0265 %
+16 =32 - 2
P ~ 0.1183 %
+17 =30 - 3
P ~ 0.2929 %
+18 =28 - 4
P ~ 0.4504 %
+19 =26 - 5
P ~ 0.4561 %
+20 =24 - 6
P ~ 0.3144 %
+21 =22 - 7
P ~ 0.1503 %
+22 =20 - 8
P ~ 0.0502 %
+23 =18 - 9
P ~ 0.0117 %
+24 =16 -10
P ~ 0.0019 %
+25 =14 -11
P ~ 0.0002 %
+26 =12 -12
P ~ 0.0000 %
+27 =10 -13
P ~ 0.0000 %
+28 = 8 -14
P ~ 0.0000 %
+29 = 6 -15
P ~ 0.0000 %
+30 = 4 -16
P ~ 0.0000 %
+31 = 2 -17
P ~ 0.0000 %
+32 = 0 -18
P ~ 0.0000 %
Probability of win 32.0 points out of 50: 1.8755 %
----------------------------------------------------
Points: 31.5/50
+13 =37 - 0
P ~ 0.0020 %
+14 =35 - 1
P ~ 0.0238 %
+15 =33 - 2
P ~ 0.1203 %
+16 =31 - 3
P ~ 0.3369 %
+17 =29 - 4
P ~ 0.5864 %
+18 =27 - 5
P ~ 0.6733 %
+19 =25 - 6
P ~ 0.5277 %
+20 =23 - 7
P ~ 0.2878 %
+21 =21 - 8
P ~ 0.1103 %
+22 =19 - 9
P ~ 0.0298 %
+23 =17 -10
P ~ 0.0056 %
+24 =15 -11
P ~ 0.0007 %
+25 =13 -12
P ~ 0.0001 %
+26 =11 -13
P ~ 0.0000 %
+27 = 9 -14
P ~ 0.0000 %
+28 = 7 -15
P ~ 0.0000 %
+29 = 5 -16
P ~ 0.0000 %
+30 = 3 -17
P ~ 0.0000 %
+31 = 1 -18
P ~ 0.0000 %
Probability of win 31.5 points out of 50: 2.7048 %
----------------------------------------------------
Points: 31.0/50
+12 =38 - 0
P ~ 0.0014 %
+13 =36 - 1
P ~ 0.0194 %
+14 =34 - 2
P ~ 0.1114 %
+15 =32 - 3
P ~ 0.3534 %
+16 =30 - 4
P ~ 0.6971 %
+17 =28 - 5
P ~ 0.9080 %
+18 =26 - 6
P ~ 0.8089 %
+19 =24 - 7
P ~ 0.5031 %
+20 =22 - 8
P ~ 0.2209 %
+21 =20 - 9
P ~ 0.0687 %
+22 =18 -10
P ~ 0.0151 %
+23 =16 -11
P ~ 0.0023 %
+24 =14 -12
P ~ 0.0002 %
+25 =12 -13
P ~ 0.0000 %
+26 =10 -14
P ~ 0.0000 %
+27 = 8 -15
P ~ 0.0000 %
+28 = 6 -16
P ~ 0.0000 %
+29 = 4 -17
P ~ 0.0000 %
+30 = 2 -18
P ~ 0.0000 %
+31 = 0 -19
P ~ 0.0000 %
Probability of win 31.0 points out of 50: 3.7099 %
----------------------------------------------------
Points: 30.5/50
+11 =39 - 0
P ~ 0.0009 %
+12 =37 - 1
P ~ 0.0143 %
+13 =35 - 2
P ~ 0.0934 %
+14 =33 - 3
P ~ 0.3369 %
+15 =31 - 4
P ~ 0.7547 %
+16 =29 - 5
P ~ 1.1165 %
+17 =27 - 6
P ~ 1.1312 %
+18 =25 - 7
P ~ 0.8020 %
+19 =23 - 8
P ~ 0.4029 %
+20 =21 - 9
P ~ 0.1441 %
+21 =19 -10
P ~ 0.0367 %
+22 =17 -11
P ~ 0.0066 %
+23 =15 -12
P ~ 0.0008 %
+24 =13 -13
P ~ 0.0001 %
+25 =11 -14
P ~ 0.0000 %
+26 = 9 -15
P ~ 0.0000 %
+27 = 7 -16
P ~ 0.0000 %
+28 = 5 -17
P ~ 0.0000 %
+29 = 3 -18
P ~ 0.0000 %
+30 = 1 -19
P ~ 0.0000 %
Probability of win 30.5 points out of 50: 4.8412 %
----------------------------------------------------
Points: 30.0/50
+10 =40 - 0
P ~ 0.0005 %
+11 =38 - 1
P ~ 0.0095 %
+12 =36 - 2
P ~ 0.0708 %
+13 =34 - 3
P ~ 0.2910 %
+14 =32 - 4
P ~ 0.7421 %
+15 =30 - 5
P ~ 1.2491 %
+16 =28 - 6
P ~ 1.4406 %
+17 =26 - 7
P ~ 1.1647 %
+18 =24 - 8
P ~ 0.6691 %
+19 =22 - 9
P ~ 0.2749 %
+20 =20 -10
P ~ 0.0808 %
+21 =18 -11
P ~ 0.0169 %
+22 =16 -12
P ~ 0.0025 %
+23 =14 -13
P ~ 0.0003 %
+24 =12 -14
P ~ 0.0000 %
+25 =10 -15
P ~ 0.0000 %
+26 = 8 -16
P ~ 0.0000 %
+27 = 6 -17
P ~ 0.0000 %
+28 = 4 -18
P ~ 0.0000 %
+29 = 2 -19
P ~ 0.0000 %
+30 = 0 -20
P ~ 0.0000 %
Probability of win 30.0 points out of 50: 6.0128 %
----------------------------------------------------
Points: 29.5/50
+ 9 =41 - 0
P ~ 0.0003 %
+10 =39 - 1
P ~ 0.0056 %
+11 =37 - 2
P ~ 0.0482 %
+12 =35 - 3
P ~ 0.2267 %
+13 =33 - 4
P ~ 0.6604 %
+14 =31 - 5
P ~ 1.2678 %
+15 =29 - 6
P ~ 1.6673 %
+16 =27 - 7
P ~ 1.5383 %
+17 =25 - 8
P ~ 1.0105 %
+18 =23 - 9
P ~ 0.4763 %
+19 =21 -10
P ~ 0.1614 %
+20 =19 -11
P ~ 0.0392 %
+21 =17 -12
P ~ 0.0068 %
+22 =15 -13
P ~ 0.0008 %
+23 =13 -14
P ~ 0.0001 %
+24 =11 -15
P ~ 0.0000 %
+25 = 9 -16
P ~ 0.0000 %
+26 = 7 -17
P ~ 0.0000 %
+27 = 5 -18
P ~ 0.0000 %
+28 = 3 -19
P ~ 0.0000 %
+29 = 1 -20
P ~ 0.0000 %
Probability of win 29.5 points out of 50: 7.1097 %
----------------------------------------------------
Points: 29.0/50
+ 8 =42 - 0
P ~ 0.0001 %
+ 9 =40 - 1
P ~ 0.0029 %
+10 =38 - 2
P ~ 0.0292 %
+11 =36 - 3
P ~ 0.1585 %
+12 =34 - 4
P ~ 0.5296 %
+13 =32 - 5
P ~ 1.1635 %
+14 =30 - 6
P ~ 1.7487 %
+15 =28 - 7
P ~ 1.8439 %
+16 =26 - 8
P ~ 1.3860 %
+17 =24 - 9
P ~ 0.7494 %
+18 =22 -10
P ~ 0.2925 %
+19 =20 -11
P ~ 0.0823 %
+20 =18 -12
P ~ 0.0166 %
+21 =16 -13
P ~ 0.0024 %
+22 =14 -14
P ~ 0.0002 %
+23 =12 -15
P ~ 0.0000 %
+24 =10 -16
P ~ 0.0000 %
+25 = 8 -17
P ~ 0.0000 %
+26 = 6 -18
P ~ 0.0000 %
+27 = 4 -19
P ~ 0.0000 %
+28 = 2 -20
P ~ 0.0000 %
+29 = 0 -21
P ~ 0.0000 %
Probability of win 29.0 points out of 50: 8.0059 %
----------------------------------------------------
Points: 28.5/50
+ 7 =43 - 0
P ~ 0.0000 %
+ 8 =41 - 1
P ~ 0.0014 %
+ 9 =39 - 2
P ~ 0.0157 %
+10 =37 - 3
P ~ 0.0989 %
+11 =35 - 4
P ~ 0.3809 %
+12 =33 - 5
P ~ 0.9615 %
+13 =31 - 6
P ~ 1.6566 %
+14 =29 - 7
P ~ 2.0007 %
+15 =27 - 8
P ~ 1.7229 %
+16 =25 - 9
P ~ 1.0689 %
+17 =23 -10
P ~ 0.4801 %
+18 =21 -11
P ~ 0.1561 %
+19 =19 -12
P ~ 0.0366 %
+20 =17 -13
P ~ 0.0061 %
+21 =15 -14
P ~ 0.0007 %
+22 =13 -15
P ~ 0.0001 %
+23 =11 -16
P ~ 0.0000 %
+24 = 9 -17
P ~ 0.0000 %
+25 = 7 -18
P ~ 0.0000 %
+26 = 5 -19
P ~ 0.0000 %
+27 = 3 -20
P ~ 0.0000 %
+28 = 1 -21
P ~ 0.0000 %
Probability of win 28.5 points out of 50: 8.5872 %
----------------------------------------------------
Points: 28.0/50
+ 6 =44 - 0
P ~ 0.0000 %
+ 7 =42 - 1
P ~ 0.0005 %
+ 8 =40 - 2
P ~ 0.0074 %
+ 9 =38 - 3
P ~ 0.0546 %
+10 =36 - 4
P ~ 0.2441 %
+11 =34 - 5
P ~ 0.7118 %
+12 =32 - 6
P ~ 1.4117 %
+13 =30 - 7
P ~ 1.9585 %
+14 =28 - 8
P ~ 1.9361 %
+15 =26 - 9
P ~ 1.3798 %
+16 =24 -10
P ~ 0.7134 %
+17 =22 -11
P ~ 0.2680 %
+18 =20 -12
P ~ 0.0729 %
+19 =18 -13
P ~ 0.0143 %
+20 =16 -14
P ~ 0.0020 %
+21 =14 -15
P ~ 0.0002 %
+22 =12 -16
P ~ 0.0000 %
+23 =10 -17
P ~ 0.0000 %
+24 = 8 -18
P ~ 0.0000 %
+25 = 6 -19
P ~ 0.0000 %
+26 = 4 -20
P ~ 0.0000 %
+27 = 2 -21
P ~ 0.0000 %
+28 = 0 -22
P ~ 0.0000 %
Probability of win 28.0 points out of 50: 8.7753 %
----------------------------------------------------
Points: 27.5/50
+ 5 =45 - 0
P ~ 0.0000 %
+ 6 =43 - 1
P ~ 0.0002 %
+ 7 =41 - 2
P ~ 0.0030 %
+ 8 =39 - 3
P ~ 0.0264 %
+ 9 =37 - 4
P ~ 0.1384 %
+10 =35 - 5
P ~ 0.4693 %
+11 =33 - 6
P ~ 1.0768 %
+12 =31 - 7
P ~ 1.7228 %
+13 =29 - 8
P ~ 1.9606 %
+14 =27 - 9
P ~ 1.6080 %
+15 =25 -10
P ~ 0.9577 %
+16 =23 -11
P ~ 0.4155 %
+17 =21 -12
P ~ 0.1312 %
+18 =19 -13
P ~ 0.0300 %
+19 =17 -14
P ~ 0.0049 %
+20 =15 -15
P ~ 0.0006 %
+21 =13 -16
P ~ 0.0000 %
+22 =11 -17
P ~ 0.0000 %
+23 = 9 -18
P ~ 0.0000 %
+24 = 7 -19
P ~ 0.0000 %
+25 = 5 -20
P ~ 0.0000 %
+26 = 3 -21
P ~ 0.0000 %
+27 = 1 -22
P ~ 0.0000 %
Probability of win 27.5 points out of 50: 8.5453 %
----------------------------------------------------
Points: 27.0/50
+ 4 =46 - 0
P ~ 0.0000 %
+ 5 =44 - 1
P ~ 0.0001 %
+ 6 =42 - 2
P ~ 0.0011 %
+ 7 =40 - 3
P ~ 0.0111 %
+ 8 =38 - 4
P ~ 0.0688 %
+ 9 =36 - 5
P ~ 0.2734 %
+10 =34 - 6
P ~ 0.7308 %
+11 =32 - 7
P ~ 1.3552 %
+12 =30 - 8
P ~ 1.7821 %
+13 =28 - 9
P ~ 1.6865 %
+14 =26 -10
P ~ 1.1590 %
+15 =24 -11
P ~ 0.5811 %
+16 =22 -12
P ~ 0.2126 %
+17 =20 -13
P ~ 0.0566 %
+18 =18 -14
P ~ 0.0109 %
+19 =16 -15
P ~ 0.0015 %
+20 =14 -16
P ~ 0.0001 %
+21 =12 -17
P ~ 0.0000 %
+22 =10 -18
P ~ 0.0000 %
+23 = 8 -19
P ~ 0.0000 %
+24 = 6 -20
P ~ 0.0000 %
+25 = 4 -21
P ~ 0.0000 %
+26 = 2 -22
P ~ 0.0000 %
+27 = 0 -23
P ~ 0.0000 %
Probability of win 27.0 points out of 50: 7.9307 %
----------------------------------------------------
Points: 26.5/50
+ 3 =47 - 0
P ~ 0.0000 %
+ 4 =45 - 1
P ~ 0.0000 %
+ 5 =43 - 2
P ~ 0.0003 %
+ 6 =41 - 3
P ~ 0.0040 %
+ 7 =39 - 4
P ~ 0.0296 %
+ 8 =37 - 5
P ~ 0.1395 %
+ 9 =35 - 6
P ~ 0.4380 %
+10 =33 - 7
P ~ 0.9476 %
+11 =31 - 8
P ~ 1.4471 %
+12 =29 - 9
P ~ 1.5859 %
+13 =27 -10
P ~ 1.2606 %
+14 =25 -11
P ~ 0.7313 %
+15 =23 -12
P ~ 0.3102 %
+16 =21 -13
P ~ 0.0960 %
+17 =19 -14
P ~ 0.0216 %
+18 =17 -15
P ~ 0.0035 %
+19 =15 -16
P ~ 0.0004 %
+20 =13 -17
P ~ 0.0000 %
+21 =11 -18
P ~ 0.0000 %
+22 = 9 -19
P ~ 0.0000 %
+23 = 7 -20
P ~ 0.0000 %
+24 = 5 -21
P ~ 0.0000 %
+25 = 3 -22
P ~ 0.0000 %
+26 = 1 -23
P ~ 0.0000 %
Probability of win 26.5 points out of 50: 7.0156 %
----------------------------------------------------
Points: 26.0/50
+ 2 =48 - 0
P ~ 0.0000 %
+ 3 =46 - 1
P ~ 0.0000 %
+ 4 =44 - 2
P ~ 0.0001 %
+ 5 =42 - 3
P ~ 0.0012 %
+ 6 =40 - 4
P ~ 0.0109 %
+ 7 =38 - 5
P ~ 0.0616 %
+ 8 =36 - 6
P ~ 0.2297 %
+ 9 =34 - 7
P ~ 0.5846 %
+10 =32 - 8
P ~ 1.0435 %
+11 =30 - 9
P ~ 1.3306 %
+12 =28 -10
P ~ 1.2277 %
+13 =26 -11
P ~ 0.8260 %
+14 =24 -12
P ~ 0.4067 %
+15 =22 -13
P ~ 0.1465 %
+16 =20 -14
P ~ 0.0385 %
+17 =18 -15
P ~ 0.0073 %
+18 =16 -16
P ~ 0.0010 %
+19 =14 -17
P ~ 0.0001 %
+20 =12 -18
P ~ 0.0000 %
+21 =10 -19
P ~ 0.0000 %
+22 = 8 -20
P ~ 0.0000 %
+23 = 6 -21
P ~ 0.0000 %
+24 = 4 -22
P ~ 0.0000 %
+25 = 2 -23
P ~ 0.0000 %
+26 = 0 -24
P ~ 0.0000 %
Probability of win 26.0 points out of 50: 5.9160 %
----------------------------------------------------
Points: 25.5/50
+ 1 =49 - 0
P ~ 0.0000 %
+ 2 =47 - 1
P ~ 0.0000 %
+ 3 =45 - 2
P ~ 0.0000 %
+ 4 =43 - 3
P ~ 0.0003 %
+ 5 =41 - 4
P ~ 0.0033 %
+ 6 =39 - 5
P ~ 0.0232 %
+ 7 =37 - 6
P ~ 0.1042 %
+ 8 =35 - 7
P ~ 0.3153 %
+ 9 =33 - 8
P ~ 0.6633 %
+10 =31 - 9
P ~ 0.9904 %
+11 =29 -10
P ~ 1.0657 %
+12 =27 -11
P ~ 0.8343 %
+13 =25 -12
P ~ 0.4778 %
+14 =23 -13
P ~ 0.2005 %
+15 =21 -14
P ~ 0.0615 %
+16 =19 -15
P ~ 0.0137 %
+17 =17 -16
P ~ 0.0022 %
+18 =15 -17
P ~ 0.0002 %
+19 =13 -18
P ~ 0.0000 %
+20 =11 -19
P ~ 0.0000 %
+21 = 9 -20
P ~ 0.0000 %
+22 = 7 -21
P ~ 0.0000 %
+23 = 5 -22
P ~ 0.0000 %
+24 = 3 -23
P ~ 0.0000 %
+25 = 1 -24
P ~ 0.0000 %
Probability of win 25.5 points out of 50: 4.7558 %
----------------------------------------------------
Points: 25.0/50
+ 0 =50 - 0
P ~ 0.0000 %
+ 1 =48 - 1
P ~ 0.0000 %
+ 2 =46 - 2
P ~ 0.0000 %
+ 3 =44 - 3
P ~ 0.0001 %
+ 4 =42 - 4
P ~ 0.0008 %
+ 5 =40 - 5
P ~ 0.0073 %
+ 6 =38 - 6
P ~ 0.0403 %
+ 7 =36 - 7
P ~ 0.1470 %
+ 8 =34 - 8
P ~ 0.3683 %
+ 9 =32 - 9
P ~ 0.6492 %
+10 =30 -10
P ~ 0.8196 %
+11 =28 -11
P ~ 0.7500 %
+12 =26 -12
P ~ 0.5011 %
+13 =24 -13
P ~ 0.2453 %
+14 =22 -14
P ~ 0.0879 %
+15 =20 -15
P ~ 0.0230 %
+16 =18 -16
P ~ 0.0043 %
+17 =16 -17
P ~ 0.0006 %
+18 =14 -18
P ~ 0.0001 %
+19 =12 -19
P ~ 0.0000 %
+20 =10 -20
P ~ 0.0000 %
+21 = 8 -21
P ~ 0.0000 %
+22 = 6 -22
P ~ 0.0000 %
+23 = 4 -23
P ~ 0.0000 %
+24 = 2 -24
P ~ 0.0000 %
+25 = 0 -25
P ~ 0.0000 %
Probability of win 25.0 points out of 50: 3.6449 %
----------------------------------------------------
Points: 24.5/50
+ 0 =49 - 1
P ~ 0.0000 %
+ 1 =47 - 2
P ~ 0.0000 %
+ 2 =45 - 3
P ~ 0.0000 %
+ 3 =43 - 4
P ~ 0.0002 %
+ 4 =41 - 5
P ~ 0.0019 %
+ 5 =39 - 6
P ~ 0.0130 %
+ 6 =37 - 7
P ~ 0.0583 %
+ 7 =35 - 8
P ~ 0.1766 %
+ 8 =33 - 9
P ~ 0.3714 %
+ 9 =31 -10
P ~ 0.5546 %
+10 =29 -11
P ~ 0.5968 %
+11 =27 -12
P ~ 0.4672 %
+12 =25 -13
P ~ 0.2675 %
+13 =23 -14
P ~ 0.1123 %
+14 =21 -15
P ~ 0.0344 %
+15 =19 -16
P ~ 0.0077 %
+16 =17 -17
P ~ 0.0012 %
+17 =15 -18
P ~ 0.0001 %
+18 =13 -19
P ~ 0.0000 %
+19 =11 -20
P ~ 0.0000 %
+20 = 9 -21
P ~ 0.0000 %
+21 = 7 -22
P ~ 0.0000 %
+22 = 5 -23
P ~ 0.0000 %
+23 = 3 -24
P ~ 0.0000 %
+24 = 1 -25
P ~ 0.0000 %
Probability of win 24.5 points out of 50: 2.6632 %
----------------------------------------------------
Points: 24.0/50
+ 0 =48 - 2
P ~ 0.0000 %
+ 1 =46 - 3
P ~ 0.0000 %
+ 2 =44 - 4
P ~ 0.0000 %
+ 3 =42 - 5
P ~ 0.0004 %
+ 4 =40 - 6
P ~ 0.0034 %
+ 5 =38 - 7
P ~ 0.0193 %
+ 6 =36 - 8
P ~ 0.0720 %
+ 7 =34 - 9
P ~ 0.1833 %
+ 8 =32 -10
P ~ 0.3272 %
+ 9 =30 -11
P ~ 0.4173 %
+10 =28 -12
P ~ 0.3850 %
+11 =26 -13
P ~ 0.2590 %
+12 =24 -14
P ~ 0.1275 %
+13 =22 -15
P ~ 0.0459 %
+14 =20 -16
P ~ 0.0121 %
+15 =18 -17
P ~ 0.0023 %
+16 =16 -18
P ~ 0.0003 %
+17 =14 -19
P ~ 0.0000 %
+18 =12 -20
P ~ 0.0000 %
+19 =10 -21
P ~ 0.0000 %
+20 = 8 -22
P ~ 0.0000 %
+21 = 6 -23
P ~ 0.0000 %
+22 = 4 -24
P ~ 0.0000 %
+23 = 2 -25
P ~ 0.0000 %
+24 = 0 -26
P ~ 0.0000 %
Probability of win 24.0 points out of 50: 1.8551 %
----------------------------------------------------
Points: 23.5/50
+ 0 =47 - 3
P ~ 0.0000 %
+ 1 =45 - 4
P ~ 0.0000 %
+ 2 =43 - 5
P ~ 0.0001 %
+ 3 =41 - 6
P ~ 0.0007 %
+ 4 =39 - 7
P ~ 0.0052 %
+ 5 =37 - 8
P ~ 0.0245 %
+ 6 =35 - 9
P ~ 0.0769 %
+ 7 =33 -10
P ~ 0.1664 %
+ 8 =31 -11
P ~ 0.2541 %
+ 9 =29 -12
P ~ 0.2785 %
+10 =27 -13
P ~ 0.2214 %
+11 =25 -14
P ~ 0.1284 %
+12 =23 -15
P ~ 0.0545 %
+13 =21 -16
P ~ 0.0169 %
+14 =19 -17
P ~ 0.0038 %
+15 =17 -18
P ~ 0.0006 %
+16 =15 -19
P ~ 0.0001 %
+17 =13 -20
P ~ 0.0000 %
+18 =11 -21
P ~ 0.0000 %
+19 = 9 -22
P ~ 0.0000 %
+20 = 7 -23
P ~ 0.0000 %
+21 = 5 -24
P ~ 0.0000 %
+22 = 3 -25
P ~ 0.0000 %
+23 = 1 -26
P ~ 0.0000 %
Probability of win 23.5 points out of 50: 1.2319 %
----------------------------------------------------
Points: 23.0/50
+ 0 =46 - 4
P ~ 0.0000 %
+ 1 =44 - 5
P ~ 0.0000 %
+ 2 =42 - 6
P ~ 0.0001 %
+ 3 =40 - 7
P ~ 0.0011 %
+ 4 =38 - 8
P ~ 0.0068 %
+ 5 =36 - 9
P ~ 0.0269 %
+ 6 =34 -10
P ~ 0.0719 %
+ 7 =32 -11
P ~ 0.1333 %
+ 8 =30 -12
P ~ 0.1752 %
+ 9 =28 -13
P ~ 0.1658 %
+10 =26 -14
P ~ 0.1140 %
+11 =24 -15
P ~ 0.0571 %
+12 =22 -16
P ~ 0.0209 %
+13 =20 -17
P ~ 0.0056 %
+14 =18 -18
P ~ 0.0011 %
+15 =16 -19
P ~ 0.0001 %
+16 =14 -20
P ~ 0.0000 %
+17 =12 -21
P ~ 0.0000 %
+18 =10 -22
P ~ 0.0000 %
+19 = 8 -23
P ~ 0.0000 %
+20 = 6 -24
P ~ 0.0000 %
+21 = 4 -25
P ~ 0.0000 %
+22 = 2 -26
P ~ 0.0000 %
+23 = 0 -27
P ~ 0.0000 %
Probability of win 23.0 points out of 50: 0.7799 %
----------------------------------------------------
Points: 22.5/50
+ 0 =45 - 5
P ~ 0.0000 %
+ 1 =43 - 6
P ~ 0.0000 %
+ 2 =41 - 7
P ~ 0.0002 %
+ 3 =39 - 8
P ~ 0.0015 %
+ 4 =37 - 9
P ~ 0.0076 %
+ 5 =35 -10
P ~ 0.0258 %
+ 6 =33 -11
P ~ 0.0593 %
+ 7 =31 -12
P ~ 0.0949 %
+ 8 =29 -13
P ~ 0.1080 %
+ 9 =27 -14
P ~ 0.0885 %
+10 =25 -15
P ~ 0.0527 %
+11 =23 -16
P ~ 0.0229 %
+12 =21 -17
P ~ 0.0072 %
+13 =19 -18
P ~ 0.0016 %
+14 =17 -19
P ~ 0.0003 %
+15 =15 -20
P ~ 0.0000 %
+16 =13 -21
P ~ 0.0000 %
+17 =11 -22
P ~ 0.0000 %
+18 = 9 -23
P ~ 0.0000 %
+19 = 7 -24
P ~ 0.0000 %
+20 = 5 -25
P ~ 0.0000 %
+21 = 3 -26
P ~ 0.0000 %
+22 = 1 -27
P ~ 0.0000 %
Probability of win 22.5 points out of 50: 0.4706 %
----------------------------------------------------
Points: 22.0/50
+ 0 =44 - 6
P ~ 0.0000 %
+ 1 =42 - 7
P ~ 0.0000 %
+ 2 =40 - 8
P ~ 0.0002 %
+ 3 =38 - 9
P ~ 0.0017 %
+ 4 =36 -10
P ~ 0.0075 %
+ 5 =34 -11
P ~ 0.0219 %
+ 6 =32 -12
P ~ 0.0435 %
+ 7 =30 -13
P ~ 0.0604 %
+ 8 =28 -14
P ~ 0.0597 %
+ 9 =26 -15
P ~ 0.0425 %
+10 =24 -16
P ~ 0.0220 %
+11 =22 -17
P ~ 0.0083 %
+12 =20 -18
P ~ 0.0022 %
+13 =18 -19
P ~ 0.0004 %
+14 =16 -20
P ~ 0.0001 %
+15 =14 -21
P ~ 0.0000 %
+16 =12 -22
P ~ 0.0000 %
+17 =10 -23
P ~ 0.0000 %
+18 = 8 -24
P ~ 0.0000 %
+19 = 6 -25
P ~ 0.0000 %
+20 = 4 -26
P ~ 0.0000 %
+21 = 2 -27
P ~ 0.0000 %
+22 = 0 -28
P ~ 0.0000 %
Probability of win 22.0 points out of 50: 0.2706 %
----------------------------------------------------
Points: 21.5/50
+ 0 =43 - 7
P ~ 0.0000 %
+ 1 =41 - 8
P ~ 0.0000 %
+ 2 =39 - 9
P ~ 0.0003 %
+ 3 =37 -10
P ~ 0.0017 %
+ 4 =35 -11
P ~ 0.0066 %
+ 5 =33 -12
P ~ 0.0166 %
+ 6 =31 -13
P ~ 0.0286 %
+ 7 =29 -14
P ~ 0.0345 %
+ 8 =27 -15
P ~ 0.0297 %
+ 9 =25 -16
P ~ 0.0185 %
+10 =23 -17
P ~ 0.0083 %
+11 =21 -18
P ~ 0.0027 %
+12 =19 -19
P ~ 0.0006 %
+13 =17 -20
P ~ 0.0001 %
+14 =15 -21
P ~ 0.0000 %
+15 =13 -22
P ~ 0.0000 %
+16 =11 -23
P ~ 0.0000 %
+17 = 9 -24
P ~ 0.0000 %
+18 = 7 -25
P ~ 0.0000 %
+19 = 5 -26
P ~ 0.0000 %
+20 = 3 -27
P ~ 0.0000 %
+21 = 1 -28
P ~ 0.0000 %
Probability of win 21.5 points out of 50: 0.1483 %
----------------------------------------------------
Points: 21.0/50
+ 0 =42 - 8
P ~ 0.0000 %
+ 1 =40 - 9
P ~ 0.0000 %
+ 2 =38 -10
P ~ 0.0003 %
+ 3 =36 -11
P ~ 0.0015 %
+ 4 =34 -12
P ~ 0.0051 %
+ 5 =32 -13
P ~ 0.0113 %
+ 6 =30 -14
P ~ 0.0169 %
+ 7 =28 -15
P ~ 0.0178 %
+ 8 =26 -16
P ~ 0.0134 %
+ 9 =24 -17
P ~ 0.0072 %
+10 =22 -18
P ~ 0.0028 %
+11 =20 -19
P ~ 0.0008 %
+12 =18 -20
P ~ 0.0002 %
+13 =16 -21
P ~ 0.0000 %
+14 =14 -22
P ~ 0.0000 %
+15 =12 -23
P ~ 0.0000 %
+16 =10 -24
P ~ 0.0000 %
+17 = 8 -25
P ~ 0.0000 %
+18 = 6 -26
P ~ 0.0000 %
+19 = 4 -27
P ~ 0.0000 %
+20 = 2 -28
P ~ 0.0000 %
+21 = 0 -29
P ~ 0.0000 %
Probability of win 21.0 points out of 50: 0.0774 %
----------------------------------------------------
Points: 20.5/50
+ 0 =41 - 9
P ~ 0.0000 %
+ 1 =39 -10
P ~ 0.0000 %
+ 2 =37 -11
P ~ 0.0003 %
+ 3 =35 -12
P ~ 0.0012 %
+ 4 =33 -13
P ~ 0.0036 %
+ 5 =31 -14
P ~ 0.0069 %
+ 6 =29 -15
P ~ 0.0090 %
+ 7 =27 -16
P ~ 0.0083 %
+ 8 =25 -17
P ~ 0.0055 %
+ 9 =23 -18
P ~ 0.0026 %
+10 =21 -19
P ~ 0.0009 %
+11 =19 -20
P ~ 0.0002 %
+12 =17 -21
P ~ 0.0000 %
+13 =15 -22
P ~ 0.0000 %
+14 =13 -23
P ~ 0.0000 %
+15 =11 -24
P ~ 0.0000 %
+16 = 9 -25
P ~ 0.0000 %
+17 = 7 -26
P ~ 0.0000 %
+18 = 5 -27
P ~ 0.0000 %
+19 = 3 -28
P ~ 0.0000 %
+20 = 1 -29
P ~ 0.0000 %
Probability of win 20.5 points out of 50: 0.0385 %
----------------------------------------------------
Points: 20.0/50
+ 0 =40 -10
P ~ 0.0000 %
+ 1 =38 -11
P ~ 0.0000 %
+ 2 =36 -12
P ~ 0.0002 %
+ 3 =34 -13
P ~ 0.0009 %
+ 4 =32 -14
P ~ 0.0023 %
+ 5 =30 -15
P ~ 0.0038 %
+ 6 =28 -16
P ~ 0.0044 %
+ 7 =26 -17
P ~ 0.0035 %
+ 8 =24 -18
P ~ 0.0020 %
+ 9 =22 -19
P ~ 0.0008 %
+10 =20 -20
P ~ 0.0002 %
+11 =18 -21
P ~ 0.0001 %
+12 =16 -22
P ~ 0.0000 %
+13 =14 -23
P ~ 0.0000 %
+14 =12 -24
P ~ 0.0000 %
+15 =10 -25
P ~ 0.0000 %
+16 = 8 -26
P ~ 0.0000 %
+17 = 6 -27
P ~ 0.0000 %
+18 = 4 -28
P ~ 0.0000 %
+19 = 2 -29
P ~ 0.0000 %
+20 = 0 -30
P ~ 0.0000 %
Probability of win 20.0 points out of 50: 0.0182 %
----------------------------------------------------
Points: 19.5/50
+ 0 =39 -11
P ~ 0.0000 %
+ 1 =37 -12
P ~ 0.0000 %
+ 2 =35 -13
P ~ 0.0002 %
+ 3 =33 -14
P ~ 0.0006 %
+ 4 =31 -15
P ~ 0.0013 %
+ 5 =29 -16
P ~ 0.0019 %
+ 6 =27 -17
P ~ 0.0019 %
+ 7 =25 -18
P ~ 0.0014 %
+ 8 =23 -19
P ~ 0.0007 %
+ 9 =21 -20
P ~ 0.0002 %
+10 =19 -21
P ~ 0.0001 %
+11 =17 -22
P ~ 0.0000 %
+12 =15 -23
P ~ 0.0000 %
+13 =13 -24
P ~ 0.0000 %
+14 =11 -25
P ~ 0.0000 %
+15 = 9 -26
P ~ 0.0000 %
+16 = 7 -27
P ~ 0.0000 %
+17 = 5 -28
P ~ 0.0000 %
+18 = 3 -29
P ~ 0.0000 %
+19 = 1 -30
P ~ 0.0000 %
Probability of win 19.5 points out of 50: 0.0082 %
----------------------------------------------------
Points: 19.0/50
+ 0 =38 -12
P ~ 0.0000 %
+ 1 =36 -13
P ~ 0.0000 %
+ 2 =34 -14
P ~ 0.0001 %
+ 3 =32 -15
P ~ 0.0003 %
+ 4 =30 -16
P ~ 0.0007 %
+ 5 =28 -17
P ~ 0.0009 %
+ 6 =26 -18
P ~ 0.0008 %
+ 7 =24 -19
P ~ 0.0005 %
+ 8 =22 -20
P ~ 0.0002 %
+ 9 =20 -21
P ~ 0.0001 %
+10 =18 -22
P ~ 0.0000 %
+11 =16 -23
P ~ 0.0000 %
+12 =14 -24
P ~ 0.0000 %
+13 =12 -25
P ~ 0.0000 %
+14 =10 -26
P ~ 0.0000 %
+15 = 8 -27
P ~ 0.0000 %
+16 = 6 -28
P ~ 0.0000 %
+17 = 4 -29
P ~ 0.0000 %
+18 = 2 -30
P ~ 0.0000 %
+19 = 0 -31
P ~ 0.0000 %
Probability of win 19.0 points out of 50: 0.0035 %
----------------------------------------------------
Points: 18.5/50
+ 0 =37 -13
P ~ 0.0000 %
+ 1 =35 -14
P ~ 0.0000 %
+ 2 =33 -15
P ~ 0.0001 %
+ 3 =31 -16
P ~ 0.0002 %
+ 4 =29 -17
P ~ 0.0003 %
+ 5 =27 -18
P ~ 0.0004 %
+ 6 =25 -19
P ~ 0.0003 %
+ 7 =23 -20
P ~ 0.0002 %
+ 8 =21 -21
P ~ 0.0001 %
+ 9 =19 -22
P ~ 0.0000 %
+10 =17 -23
P ~ 0.0000 %
+11 =15 -24
P ~ 0.0000 %
+12 =13 -25
P ~ 0.0000 %
+13 =11 -26
P ~ 0.0000 %
+14 = 9 -27
P ~ 0.0000 %
+15 = 7 -28
P ~ 0.0000 %
+16 = 5 -29
P ~ 0.0000 %
+17 = 3 -30
P ~ 0.0000 %
+18 = 1 -31
P ~ 0.0000 %
Probability of win 18.5 points out of 50: 0.0014 %
----------------------------------------------------
Points: 18.0/50
+ 0 =36 -14
P ~ 0.0000 %
+ 1 =34 -15
P ~ 0.0000 %
+ 2 =32 -16
P ~ 0.0000 %
+ 3 =30 -17
P ~ 0.0001 %
+ 4 =28 -18
P ~ 0.0001 %
+ 5 =26 -19
P ~ 0.0001 %
+ 6 =24 -20
P ~ 0.0001 %
+ 7 =22 -21
P ~ 0.0000 %
+ 8 =20 -22
P ~ 0.0000 %
+ 9 =18 -23
P ~ 0.0000 %
+10 =16 -24
P ~ 0.0000 %
+11 =14 -25
P ~ 0.0000 %
+12 =12 -26
P ~ 0.0000 %
+13 =10 -27
P ~ 0.0000 %
+14 = 8 -28
P ~ 0.0000 %
+15 = 6 -29
P ~ 0.0000 %
+16 = 4 -30
P ~ 0.0000 %
+17 = 2 -31
P ~ 0.0000 %
+18 = 0 -32
P ~ 0.0000 %
Probability of win 18.0 points out of 50: 0.0006 %
----------------------------------------------------
Points: 17.5/50
+ 0 =35 -15
P ~ 0.0000 %
+ 1 =33 -16
P ~ 0.0000 %
+ 2 =31 -17
P ~ 0.0000 %
+ 3 =29 -18
P ~ 0.0000 %
+ 4 =27 -19
P ~ 0.0001 %
+ 5 =25 -20
P ~ 0.0000 %
+ 6 =23 -21
P ~ 0.0000 %
+ 7 =21 -22
P ~ 0.0000 %
+ 8 =19 -23
P ~ 0.0000 %
+ 9 =17 -24
P ~ 0.0000 %
+10 =15 -25
P ~ 0.0000 %
+11 =13 -26
P ~ 0.0000 %
+12 =11 -27
P ~ 0.0000 %
+13 = 9 -28
P ~ 0.0000 %
+14 = 7 -29
P ~ 0.0000 %
+15 = 5 -30
P ~ 0.0000 %
+16 = 3 -31
P ~ 0.0000 %
+17 = 1 -32
P ~ 0.0000 %
Probability of win 17.5 points out of 50: 0.0002 %
----------------------------------------------------
Points: 17.0/50
+ 0 =34 -16
P ~ 0.0000 %
+ 1 =32 -17
P ~ 0.0000 %
+ 2 =30 -18
P ~ 0.0000 %
+ 3 =28 -19
P ~ 0.0000 %
+ 4 =26 -20
P ~ 0.0000 %
+ 5 =24 -21
P ~ 0.0000 %
+ 6 =22 -22
P ~ 0.0000 %
+ 7 =20 -23
P ~ 0.0000 %
+ 8 =18 -24
P ~ 0.0000 %
+ 9 =16 -25
P ~ 0.0000 %
+10 =14 -26
P ~ 0.0000 %
+11 =12 -27
P ~ 0.0000 %
+12 =10 -28
P ~ 0.0000 %
+13 = 8 -29
P ~ 0.0000 %
+14 = 6 -30
P ~ 0.0000 %
+15 = 4 -31
P ~ 0.0000 %
+16 = 2 -32
P ~ 0.0000 %
+17 = 0 -33
P ~ 0.0000 %
Probability of win 17.0 points out of 50: 0.0001 %
----------------------------------------------------
Points: 16.5/50
+ 0 =33 -17
P ~ 0.0000 %
+ 1 =31 -18
P ~ 0.0000 %
+ 2 =29 -19
P ~ 0.0000 %
+ 3 =27 -20
P ~ 0.0000 %
+ 4 =25 -21
P ~ 0.0000 %
+ 5 =23 -22
P ~ 0.0000 %
+ 6 =21 -23
P ~ 0.0000 %
+ 7 =19 -24
P ~ 0.0000 %
+ 8 =17 -25
P ~ 0.0000 %
+ 9 =15 -26
P ~ 0.0000 %
+10 =13 -27
P ~ 0.0000 %
+11 =11 -28
P ~ 0.0000 %
+12 = 9 -29
P ~ 0.0000 %
+13 = 7 -30
P ~ 0.0000 %
+14 = 5 -31
P ~ 0.0000 %
+15 = 3 -32
P ~ 0.0000 %
+16 = 1 -33
P ~ 0.0000 %
Probability of win 16.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 16.0/50
+ 0 =32 -18
P ~ 0.0000 %
+ 1 =30 -19
P ~ 0.0000 %
+ 2 =28 -20
P ~ 0.0000 %
+ 3 =26 -21
P ~ 0.0000 %
+ 4 =24 -22
P ~ 0.0000 %
+ 5 =22 -23
P ~ 0.0000 %
+ 6 =20 -24
P ~ 0.0000 %
+ 7 =18 -25
P ~ 0.0000 %
+ 8 =16 -26
P ~ 0.0000 %
+ 9 =14 -27
P ~ 0.0000 %
+10 =12 -28
P ~ 0.0000 %
+11 =10 -29
P ~ 0.0000 %
+12 = 8 -30
P ~ 0.0000 %
+13 = 6 -31
P ~ 0.0000 %
+14 = 4 -32
P ~ 0.0000 %
+15 = 2 -33
P ~ 0.0000 %
+16 = 0 -34
P ~ 0.0000 %
Probability of win 16.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 15.5/50
+ 0 =31 -19
P ~ 0.0000 %
+ 1 =29 -20
P ~ 0.0000 %
+ 2 =27 -21
P ~ 0.0000 %
+ 3 =25 -22
P ~ 0.0000 %
+ 4 =23 -23
P ~ 0.0000 %
+ 5 =21 -24
P ~ 0.0000 %
+ 6 =19 -25
P ~ 0.0000 %
+ 7 =17 -26
P ~ 0.0000 %
+ 8 =15 -27
P ~ 0.0000 %
+ 9 =13 -28
P ~ 0.0000 %
+10 =11 -29
P ~ 0.0000 %
+11 = 9 -30
P ~ 0.0000 %
+12 = 7 -31
P ~ 0.0000 %
+13 = 5 -32
P ~ 0.0000 %
+14 = 3 -33
P ~ 0.0000 %
+15 = 1 -34
P ~ 0.0000 %
Probability of win 15.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 15.0/50
+ 0 =30 -20
P ~ 0.0000 %
+ 1 =28 -21
P ~ 0.0000 %
+ 2 =26 -22
P ~ 0.0000 %
+ 3 =24 -23
P ~ 0.0000 %
+ 4 =22 -24
P ~ 0.0000 %
+ 5 =20 -25
P ~ 0.0000 %
+ 6 =18 -26
P ~ 0.0000 %
+ 7 =16 -27
P ~ 0.0000 %
+ 8 =14 -28
P ~ 0.0000 %
+ 9 =12 -29
P ~ 0.0000 %
+10 =10 -30
P ~ 0.0000 %
+11 = 8 -31
P ~ 0.0000 %
+12 = 6 -32
P ~ 0.0000 %
+13 = 4 -33
P ~ 0.0000 %
+14 = 2 -34
P ~ 0.0000 %
+15 = 0 -35
P ~ 0.0000 %
Probability of win 15.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 14.5/50
+ 0 =29 -21
P ~ 0.0000 %
+ 1 =27 -22
P ~ 0.0000 %
+ 2 =25 -23
P ~ 0.0000 %
+ 3 =23 -24
P ~ 0.0000 %
+ 4 =21 -25
P ~ 0.0000 %
+ 5 =19 -26
P ~ 0.0000 %
+ 6 =17 -27
P ~ 0.0000 %
+ 7 =15 -28
P ~ 0.0000 %
+ 8 =13 -29
P ~ 0.0000 %
+ 9 =11 -30
P ~ 0.0000 %
+10 = 9 -31
P ~ 0.0000 %
+11 = 7 -32
P ~ 0.0000 %
+12 = 5 -33
P ~ 0.0000 %
+13 = 3 -34
P ~ 0.0000 %
+14 = 1 -35
P ~ 0.0000 %
Probability of win 14.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 14.0/50
+ 0 =28 -22
P ~ 0.0000 %
+ 1 =26 -23
P ~ 0.0000 %
+ 2 =24 -24
P ~ 0.0000 %
+ 3 =22 -25
P ~ 0.0000 %
+ 4 =20 -26
P ~ 0.0000 %
+ 5 =18 -27
P ~ 0.0000 %
+ 6 =16 -28
P ~ 0.0000 %
+ 7 =14 -29
P ~ 0.0000 %
+ 8 =12 -30
P ~ 0.0000 %
+ 9 =10 -31
P ~ 0.0000 %
+10 = 8 -32
P ~ 0.0000 %
+11 = 6 -33
P ~ 0.0000 %
+12 = 4 -34
P ~ 0.0000 %
+13 = 2 -35
P ~ 0.0000 %
+14 = 0 -36
P ~ 0.0000 %
Probability of win 14.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 13.5/50
+ 0 =27 -23
P ~ 0.0000 %
+ 1 =25 -24
P ~ 0.0000 %
+ 2 =23 -25
P ~ 0.0000 %
+ 3 =21 -26
P ~ 0.0000 %
+ 4 =19 -27
P ~ 0.0000 %
+ 5 =17 -28
P ~ 0.0000 %
+ 6 =15 -29
P ~ 0.0000 %
+ 7 =13 -30
P ~ 0.0000 %
+ 8 =11 -31
P ~ 0.0000 %
+ 9 = 9 -32
P ~ 0.0000 %
+10 = 7 -33
P ~ 0.0000 %
+11 = 5 -34
P ~ 0.0000 %
+12 = 3 -35
P ~ 0.0000 %
+13 = 1 -36
P ~ 0.0000 %
Probability of win 13.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 13.0/50
+ 0 =26 -24
P ~ 0.0000 %
+ 1 =24 -25
P ~ 0.0000 %
+ 2 =22 -26
P ~ 0.0000 %
+ 3 =20 -27
P ~ 0.0000 %
+ 4 =18 -28
P ~ 0.0000 %
+ 5 =16 -29
P ~ 0.0000 %
+ 6 =14 -30
P ~ 0.0000 %
+ 7 =12 -31
P ~ 0.0000 %
+ 8 =10 -32
P ~ 0.0000 %
+ 9 = 8 -33
P ~ 0.0000 %
+10 = 6 -34
P ~ 0.0000 %
+11 = 4 -35
P ~ 0.0000 %
+12 = 2 -36
P ~ 0.0000 %
+13 = 0 -37
P ~ 0.0000 %
Probability of win 13.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 12.5/50
+ 0 =25 -25
P ~ 0.0000 %
+ 1 =23 -26
P ~ 0.0000 %
+ 2 =21 -27
P ~ 0.0000 %
+ 3 =19 -28
P ~ 0.0000 %
+ 4 =17 -29
P ~ 0.0000 %
+ 5 =15 -30
P ~ 0.0000 %
+ 6 =13 -31
P ~ 0.0000 %
+ 7 =11 -32
P ~ 0.0000 %
+ 8 = 9 -33
P ~ 0.0000 %
+ 9 = 7 -34
P ~ 0.0000 %
+10 = 5 -35
P ~ 0.0000 %
+11 = 3 -36
P ~ 0.0000 %
+12 = 1 -37
P ~ 0.0000 %
Probability of win 12.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 12.0/50
+ 0 =24 -26
P ~ 0.0000 %
+ 1 =22 -27
P ~ 0.0000 %
+ 2 =20 -28
P ~ 0.0000 %
+ 3 =18 -29
P ~ 0.0000 %
+ 4 =16 -30
P ~ 0.0000 %
+ 5 =14 -31
P ~ 0.0000 %
+ 6 =12 -32
P ~ 0.0000 %
+ 7 =10 -33
P ~ 0.0000 %
+ 8 = 8 -34
P ~ 0.0000 %
+ 9 = 6 -35
P ~ 0.0000 %
+10 = 4 -36
P ~ 0.0000 %
+11 = 2 -37
P ~ 0.0000 %
+12 = 0 -38
P ~ 0.0000 %
Probability of win 12.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 11.5/50
+ 0 =23 -27
P ~ 0.0000 %
+ 1 =21 -28
P ~ 0.0000 %
+ 2 =19 -29
P ~ 0.0000 %
+ 3 =17 -30
P ~ 0.0000 %
+ 4 =15 -31
P ~ 0.0000 %
+ 5 =13 -32
P ~ 0.0000 %
+ 6 =11 -33
P ~ 0.0000 %
+ 7 = 9 -34
P ~ 0.0000 %
+ 8 = 7 -35
P ~ 0.0000 %
+ 9 = 5 -36
P ~ 0.0000 %
+10 = 3 -37
P ~ 0.0000 %
+11 = 1 -38
P ~ 0.0000 %
Probability of win 11.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 11.0/50
+ 0 =22 -28
P ~ 0.0000 %
+ 1 =20 -29
P ~ 0.0000 %
+ 2 =18 -30
P ~ 0.0000 %
+ 3 =16 -31
P ~ 0.0000 %
+ 4 =14 -32
P ~ 0.0000 %
+ 5 =12 -33
P ~ 0.0000 %
+ 6 =10 -34
P ~ 0.0000 %
+ 7 = 8 -35
P ~ 0.0000 %
+ 8 = 6 -36
P ~ 0.0000 %
+ 9 = 4 -37
P ~ 0.0000 %
+10 = 2 -38
P ~ 0.0000 %
+11 = 0 -39
P ~ 0.0000 %
Probability of win 11.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 10.5/50
+ 0 =21 -29
P ~ 0.0000 %
+ 1 =19 -30
P ~ 0.0000 %
+ 2 =17 -31
P ~ 0.0000 %
+ 3 =15 -32
P ~ 0.0000 %
+ 4 =13 -33
P ~ 0.0000 %
+ 5 =11 -34
P ~ 0.0000 %
+ 6 = 9 -35
P ~ 0.0000 %
+ 7 = 7 -36
P ~ 0.0000 %
+ 8 = 5 -37
P ~ 0.0000 %
+ 9 = 3 -38
P ~ 0.0000 %
+10 = 1 -39
P ~ 0.0000 %
Probability of win 10.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 10.0/50
+ 0 =20 -30
P ~ 0.0000 %
+ 1 =18 -31
P ~ 0.0000 %
+ 2 =16 -32
P ~ 0.0000 %
+ 3 =14 -33
P ~ 0.0000 %
+ 4 =12 -34
P ~ 0.0000 %
+ 5 =10 -35
P ~ 0.0000 %
+ 6 = 8 -36
P ~ 0.0000 %
+ 7 = 6 -37
P ~ 0.0000 %
+ 8 = 4 -38
P ~ 0.0000 %
+ 9 = 2 -39
P ~ 0.0000 %
+10 = 0 -40
P ~ 0.0000 %
Probability of win 10.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 9.5/50
+ 0 =19 -31
P ~ 0.0000 %
+ 1 =17 -32
P ~ 0.0000 %
+ 2 =15 -33
P ~ 0.0000 %
+ 3 =13 -34
P ~ 0.0000 %
+ 4 =11 -35
P ~ 0.0000 %
+ 5 = 9 -36
P ~ 0.0000 %
+ 6 = 7 -37
P ~ 0.0000 %
+ 7 = 5 -38
P ~ 0.0000 %
+ 8 = 3 -39
P ~ 0.0000 %
+ 9 = 1 -40
P ~ 0.0000 %
Probability of win 9.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 9.0/50
+ 0 =18 -32
P ~ 0.0000 %
+ 1 =16 -33
P ~ 0.0000 %
+ 2 =14 -34
P ~ 0.0000 %
+ 3 =12 -35
P ~ 0.0000 %
+ 4 =10 -36
P ~ 0.0000 %
+ 5 = 8 -37
P ~ 0.0000 %
+ 6 = 6 -38
P ~ 0.0000 %
+ 7 = 4 -39
P ~ 0.0000 %
+ 8 = 2 -40
P ~ 0.0000 %
+ 9 = 0 -41
P ~ 0.0000 %
Probability of win 9.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 8.5/50
+ 0 =17 -33
P ~ 0.0000 %
+ 1 =15 -34
P ~ 0.0000 %
+ 2 =13 -35
P ~ 0.0000 %
+ 3 =11 -36
P ~ 0.0000 %
+ 4 = 9 -37
P ~ 0.0000 %
+ 5 = 7 -38
P ~ 0.0000 %
+ 6 = 5 -39
P ~ 0.0000 %
+ 7 = 3 -40
P ~ 0.0000 %
+ 8 = 1 -41
P ~ 0.0000 %
Probability of win 8.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 8.0/50
+ 0 =16 -34
P ~ 0.0000 %
+ 1 =14 -35
P ~ 0.0000 %
+ 2 =12 -36
P ~ 0.0000 %
+ 3 =10 -37
P ~ 0.0000 %
+ 4 = 8 -38
P ~ 0.0000 %
+ 5 = 6 -39
P ~ 0.0000 %
+ 6 = 4 -40
P ~ 0.0000 %
+ 7 = 2 -41
P ~ 0.0000 %
+ 8 = 0 -42
P ~ 0.0000 %
Probability of win 8.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 7.5/50
+ 0 =15 -35
P ~ 0.0000 %
+ 1 =13 -36
P ~ 0.0000 %
+ 2 =11 -37
P ~ 0.0000 %
+ 3 = 9 -38
P ~ 0.0000 %
+ 4 = 7 -39
P ~ 0.0000 %
+ 5 = 5 -40
P ~ 0.0000 %
+ 6 = 3 -41
P ~ 0.0000 %
+ 7 = 1 -42
P ~ 0.0000 %
Probability of win 7.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 7.0/50
+ 0 =14 -36
P ~ 0.0000 %
+ 1 =12 -37
P ~ 0.0000 %
+ 2 =10 -38
P ~ 0.0000 %
+ 3 = 8 -39
P ~ 0.0000 %
+ 4 = 6 -40
P ~ 0.0000 %
+ 5 = 4 -41
P ~ 0.0000 %
+ 6 = 2 -42
P ~ 0.0000 %
+ 7 = 0 -43
P ~ 0.0000 %
Probability of win 7.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 6.5/50
+ 0 =13 -37
P ~ 0.0000 %
+ 1 =11 -38
P ~ 0.0000 %
+ 2 = 9 -39
P ~ 0.0000 %
+ 3 = 7 -40
P ~ 0.0000 %
+ 4 = 5 -41
P ~ 0.0000 %
+ 5 = 3 -42
P ~ 0.0000 %
+ 6 = 1 -43
P ~ 0.0000 %
Probability of win 6.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 6.0/50
+ 0 =12 -38
P ~ 0.0000 %
+ 1 =10 -39
P ~ 0.0000 %
+ 2 = 8 -40
P ~ 0.0000 %
+ 3 = 6 -41
P ~ 0.0000 %
+ 4 = 4 -42
P ~ 0.0000 %
+ 5 = 2 -43
P ~ 0.0000 %
+ 6 = 0 -44
P ~ 0.0000 %
Probability of win 6.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 5.5/50
+ 0 =11 -39
P ~ 0.0000 %
+ 1 = 9 -40
P ~ 0.0000 %
+ 2 = 7 -41
P ~ 0.0000 %
+ 3 = 5 -42
P ~ 0.0000 %
+ 4 = 3 -43
P ~ 0.0000 %
+ 5 = 1 -44
P ~ 0.0000 %
Probability of win 5.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 5.0/50
+ 0 =10 -40
P ~ 0.0000 %
+ 1 = 8 -41
P ~ 0.0000 %
+ 2 = 6 -42
P ~ 0.0000 %
+ 3 = 4 -43
P ~ 0.0000 %
+ 4 = 2 -44
P ~ 0.0000 %
+ 5 = 0 -45
P ~ 0.0000 %
Probability of win 5.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 4.5/50
+ 0 = 9 -41
P ~ 0.0000 %
+ 1 = 7 -42
P ~ 0.0000 %
+ 2 = 5 -43
P ~ 0.0000 %
+ 3 = 3 -44
P ~ 0.0000 %
+ 4 = 1 -45
P ~ 0.0000 %
Probability of win 4.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 4.0/50
+ 0 = 8 -42
P ~ 0.0000 %
+ 1 = 6 -43
P ~ 0.0000 %
+ 2 = 4 -44
P ~ 0.0000 %
+ 3 = 2 -45
P ~ 0.0000 %
+ 4 = 0 -46
P ~ 0.0000 %
Probability of win 4.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 3.5/50
+ 0 = 7 -43
P ~ 0.0000 %
+ 1 = 5 -44
P ~ 0.0000 %
+ 2 = 3 -45
P ~ 0.0000 %
+ 3 = 1 -46
P ~ 0.0000 %
Probability of win 3.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 3.0/50
+ 0 = 6 -44
P ~ 0.0000 %
+ 1 = 4 -45
P ~ 0.0000 %
+ 2 = 2 -46
P ~ 0.0000 %
+ 3 = 0 -47
P ~ 0.0000 %
Probability of win 3.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 2.5/50
+ 0 = 5 -45
P ~ 0.0000 %
+ 1 = 3 -46
P ~ 0.0000 %
+ 2 = 1 -47
P ~ 0.0000 %
Probability of win 2.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 2.0/50
+ 0 = 4 -46
P ~ 0.0000 %
+ 1 = 2 -47
P ~ 0.0000 %
+ 2 = 0 -48
P ~ 0.0000 %
Probability of win 2.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 1.5/50
+ 0 = 3 -47
P ~ 0.0000 %
+ 1 = 1 -48
P ~ 0.0000 %
Probability of win 1.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 1.0/50
+ 0 = 2 -48
P ~ 0.0000 %
+ 1 = 0 -49
P ~ 0.0000 %
Probability of win 1.0 points out of 50: 0.0000 %
----------------------------------------------------
Points: 0.5/50
+ 0 = 1 -49
P ~ 0.0000 %
Probability of win 0.5 points out of 50: 0.0000 %
----------------------------------------------------
Points: 0.0/50
+ 0 = 0 -50
P ~ 0.0000 %
Probability of win 0.0 points out of 50: 0.0000 %
--------------------------------------------------------------
SUMMARIZE:
Probability that the first engine wins the match ~ 88.7873 %
Probability of a tied match ~ 3.6449 %
Probability that the second engine wins the match ~ 7.5678 %Regards from Spain.
Ajedrecista.
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
Thanks, Jesus. I remember Vas telling me- I suppose using similar methods to yours- that Rybka had an 85% chance of winning and a 15% chance of losing- against Zappa in Mexico. And he said the 15% got him! So I suppose that is why they play the match.
Best,
george
Best,
george
-
Graham Banks
- Posts: 44685
- Joined: Sun Feb 26, 2006 10:52 am
- Location: Auckland, NZ
Re: GROUP 1 Championship Match - begins on Sunday or Monday!
That is the popcount version, although we'd combine anyway.Ajedrecista wrote:Sorry for this long post. I took a look on CCRL 40/40 list and I found the following info:
I did not find a popcnt version for Bouquet 1.6 so I take the rating of non-popcnt version.Code: Select all
Critter 1.6a 64-bit (3104); 55.7 % of draws. Bouquet 1.6 64-bit (3062); 59 % of draws.
gbanksnz at gmail.com
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
GROUP 1- Bouquet_1.6 pop64 v Critter 1.6a 64-bit Has Begun!
I admit I am a couple days late getting this overall Freeware Championship match begun. But begun it has- approximately 10 minutes ago. It is running on my XPS i5 system, so the time control is 40 moves in 19 minutes repeating- benchmarked to adapt to 40/40. And I will mention again that this is a 50-game match. Updates will be given along the way.
Take care-
george
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
GROUP 1- Bouquet_1.6 pop64 v Critter 1.6a 64-bit, 3 Games In
And we have results:
Game 1: Drawn
Game 2: Drawn
Game 3: Bouquet wins with white, takes a 1 game lead!
Update before I get some sleep- back tonight.
Until then-
george
Game 1: Drawn
Game 2: Drawn
Game 3: Bouquet wins with white, takes a 1 game lead!
Update before I get some sleep- back tonight.
Until then-
george
-
geots
- Posts: 4790
- Joined: Sat Mar 11, 2006 12:42 am
GROUP 1: Bouquet_1.6 v Critter 1.6a- After 17 Games!
My service provider was down for the last 16 hours, and I am just able to get online now. At any rate, except for that I would have posted updates earlier. I have to admit that this match seems so far to be taking some strange twists and turns. But here it is, up to date:
XPS 8500 Intel i5-4 True Cores [40/19]
Fritz 11 gui/Fritz 13 gui
1CPU/64-bit where available
128MB hash
Bases=NONE
Ponder_Learning=OFF
Perfect 2012b.ctg w/12-move limit
40/21 Repeating OR
40/19 Repeating (Benched to adapt to 40/40)
Match=50 games
So after 17 games, Bouquet holds a 1-game lead. I have no idea where this match is headed. We shall see- updates to come.
I shall close my eyes for a while-
george
XPS 8500 Intel i5-4 True Cores [40/19]
Fritz 11 gui/Fritz 13 gui
1CPU/64-bit where available
128MB hash
Bases=NONE
Ponder_Learning=OFF
Perfect 2012b.ctg w/12-move limit
40/21 Repeating OR
40/19 Repeating (Benched to adapt to 40/40)
Match=50 games
Code: Select all
Group 1 XPS-Core-i5 2013
Bouquet _1.6 pop64 +5/-4/=8 52.94% 9.0/17
Critter 1.6a 64-bit +4/-5/=8 47.06% 8.0/17So after 17 games, Bouquet holds a 1-game lead. I have no idea where this match is headed. We shall see- updates to come.
I shall close my eyes for a while-
george