

Moderator: Ras
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Murka 2.0 (2448); 25.1% of draws.
Typhoon 1.00-348 (2439); 27.8% of draws.
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Probabilities_in_a_trinomial_distribution, ® 2013.
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Probabilities of all possible scores in a match between two engines.
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Write down the number of games of the match (up to 50):
12
Write down the engines rating difference (between -800 Elo and 800 Elo):
-9
Probability of a draw (%) between 0 % and 97.41 %
26.45
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: 50 ms.
Thanks for using Probabilities_in_a_trinomial_distribution. Press Enter to exit.
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Probabilities for a match of 12 games (rounded up to 0.0001%):
Rating difference (rounded up to 0.01 Elo): -9.00 Elo.
Probability of a win = W ~ 35.4801 %
Probability of a draw = D ~ 26.4500 %
Probability of a lose = L ~ 38.0699 %
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Points: 12.0/12
+12 = 0 - 0
P ~ 0.0004 %
Probability of win 12.0 points out of 12: 0.0004 %
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Points: 11.5/12
+11 = 1 - 0
P ~ 0.0036 %
Probability of win 11.5 points out of 12: 0.0036 %
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Points: 11.0/12
+10 = 2 - 0
P ~ 0.0146 %
+11 = 0 - 1
P ~ 0.0051 %
Probability of win 11.0 points out of 12: 0.0197 %
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Points: 10.5/12
+ 9 = 3 - 0
P ~ 0.0363 %
+10 = 1 - 1
P ~ 0.0420 %
Probability of win 10.5 points out of 12: 0.0783 %
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Points: 10.0/12
+ 8 = 4 - 0
P ~ 0.0608 %
+ 9 = 2 - 1
P ~ 0.1566 %
+10 = 0 - 2
P ~ 0.0302 %
Probability of win 10.0 points out of 12: 0.2477 %
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Points: 9.5/12
+ 7 = 5 - 0
P ~ 0.0726 %
+ 8 = 3 - 1
P ~ 0.3503 %
+ 9 = 1 - 2
P ~ 0.2254 %
Probability of win 9.5 points out of 12: 0.6483 %
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Points: 9.0/12
+ 6 = 6 - 0
P ~ 0.0631 %
+ 7 = 4 - 1
P ~ 0.5222 %
+ 8 = 2 - 2
P ~ 0.7562 %
+ 9 = 0 - 3
P ~ 0.1082 %
Probability of win 9.0 points out of 12: 1.4497 %
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Points: 8.5/12
+ 5 = 7 - 0
P ~ 0.0403 %
+ 6 = 5 - 1
P ~ 0.5451 %
+ 7 = 3 - 2
P ~ 1.5033 %
+ 8 = 1 - 3
P ~ 0.7256 %
Probability of win 8.5 points out of 12: 2.8144 %
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Points: 8.0/12
+ 4 = 8 - 0
P ~ 0.0188 %
+ 5 = 6 - 1
P ~ 0.4063 %
+ 6 = 4 - 2
P ~ 1.9613 %
+ 7 = 2 - 3
P ~ 2.1638 %
+ 8 = 0 - 4
P ~ 0.2611 %
Probability of win 8.0 points out of 12: 4.8113 %
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Points: 7.5/12
+ 3 = 9 - 0
P ~ 0.0062 %
+ 4 = 7 - 1
P ~ 0.2164 %
+ 5 = 5 - 2
P ~ 1.7545 %
+ 6 = 3 - 3
P ~ 3.7639 %
+ 7 = 1 - 4
P ~ 1.5572 %
Probability of win 7.5 points out of 12: 7.2982 %
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Points: 7.0/12
+ 2 =10 - 0
P ~ 0.0014 %
+ 3 = 8 - 1
P ~ 0.0807 %
+ 4 = 6 - 2
P ~ 1.0900 %
+ 5 = 4 - 3
P ~ 4.2089 %
+ 6 = 2 - 4
P ~ 4.0630 %
+ 7 = 0 - 5
P ~ 0.4483 %
Probability of win 7.0 points out of 12: 9.8922 %
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Points: 6.5/12
+ 1 =11 - 0
P ~ 0.0002 %
+ 2 = 9 - 1
P ~ 0.0200 %
+ 3 = 7 - 2
P ~ 0.4643 %
+ 4 = 5 - 3
P ~ 3.1377 %
+ 5 = 3 - 4
P ~ 6.0579 %
+ 6 = 1 - 5
P ~ 2.3392 %
Probability of win 6.5 points out of 12: 12.0193 %
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Points: 6.0/12
+ 0 =12 - 0
P ~ 0.0000 %
+ 1 =10 - 1
P ~ 0.0030 %
+ 2 = 8 - 2
P ~ 0.1298 %
+ 3 = 6 - 3
P ~ 1.5594 %
+ 4 = 4 - 4
P ~ 5.6451 %
+ 5 = 2 - 5
P ~ 5.2315 %
+ 6 = 0 - 6
P ~ 0.5611 %
Probability of win 6.0 points out of 12: 13.1300 %
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Points: 5.5/12
+ 0 =11 - 1
P ~ 0.0002 %
+ 1 = 9 - 2
P ~ 0.0215 %
+ 2 = 7 - 3
P ~ 0.4982 %
+ 3 = 5 - 4
P ~ 3.3667 %
+ 4 = 3 - 5
P ~ 6.5001 %
+ 5 = 1 - 6
P ~ 2.5099 %
Probability of win 5.5 points out of 12: 12.8966 %
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Points: 5.0/12
+ 0 =10 - 2
P ~ 0.0016 %
+ 1 = 8 - 3
P ~ 0.0929 %
+ 2 = 6 - 4
P ~ 1.2549 %
+ 3 = 4 - 5
P ~ 4.8457 %
+ 4 = 2 - 6
P ~ 4.6778 %
+ 5 = 0 - 7
P ~ 0.5161 %
Probability of win 5.0 points out of 12: 11.3890 %
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Points: 4.5/12
+ 0 = 9 - 3
P ~ 0.0077 %
+ 1 = 7 - 4
P ~ 0.2673 %
+ 2 = 5 - 5
P ~ 2.1675 %
+ 3 = 3 - 6
P ~ 4.6497 %
+ 4 = 1 - 7
P ~ 1.9237 %
Probability of win 4.5 points out of 12: 9.0158 %
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Points: 4.0/12
+ 0 = 8 - 4
P ~ 0.0249 %
+ 1 = 6 - 5
P ~ 0.5386 %
+ 2 = 4 - 6
P ~ 2.5997 %
+ 3 = 2 - 7
P ~ 2.8682 %
+ 4 = 0 - 8
P ~ 0.3461 %
Probability of win 4.0 points out of 12: 6.3775 %
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Points: 3.5/12
+ 0 = 7 - 5
P ~ 0.0574 %
+ 1 = 5 - 6
P ~ 0.7752 %
+ 2 = 3 - 7
P ~ 2.1382 %
+ 3 = 1 - 8
P ~ 1.0320 %
Probability of win 3.5 points out of 12: 4.0028 %
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Points: 3.0/12
+ 0 = 6 - 6
P ~ 0.0963 %
+ 1 = 4 - 7
P ~ 0.7970 %
+ 2 = 2 - 8
P ~ 1.1541 %
+ 3 = 0 - 9
P ~ 0.1650 %
Probability of win 3.0 points out of 12: 2.2124 %
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Points: 2.5/12
+ 0 = 5 - 7
P ~ 0.1188 %
+ 1 = 3 - 8
P ~ 0.5736 %
+ 2 = 1 - 9
P ~ 0.3691 %
Probability of win 2.5 points out of 12: 1.0615 %
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Points: 2.0/12
+ 0 = 4 - 8
P ~ 0.1069 %
+ 1 = 2 - 9
P ~ 0.2752 %
+ 2 = 0 -10
P ~ 0.0531 %
Probability of win 2.0 points out of 12: 0.4352 %
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Points: 1.5/12
+ 0 = 3 - 9
P ~ 0.0684 %
+ 1 = 1 -10
P ~ 0.0792 %
Probability of win 1.5 points out of 12: 0.1476 %
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Points: 1.0/12
+ 0 = 2 -10
P ~ 0.0295 %
+ 1 = 0 -11
P ~ 0.0104 %
Probability of win 1.0 points out of 12: 0.0399 %
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Points: 0.5/12
+ 0 = 1 -11
P ~ 0.0077 %
Probability of win 0.5 points out of 12: 0.0077 %
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Points: 0.0/12
+ 0 = 0 -12
P ~ 0.0009 %
Probability of win 0.0 points out of 12: 0.0009 %
tpetzke wrote:Hi Georg,
Thanks a lot. Very interesting tournament and so far I had not that many opportunities to celebrate a first place yet. I really enjoy it.
Thanks again.
Thomas...
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Group 8 SP8-Core-i5 2013
1 2 3 4 5 6 7 8 9 0 1 2
Typhoon 1.00-348 0 0 1 1 1 1 1 ½ 0 1 1 ½ 8.0/12
Murka 2 x64 UCI 1 1 0 0 0 0 0 ½ 1 0 0 ½ 4.0/12
Thanks for the update. I took a look on CCRL 40/40 list:geots wrote:The 2 matches running on the Inspiron Intel i5 are going much slower than the 2 that are running on the XPS i5. For one thing, the time control is slightly faster, but mainly the scores are much closer with more long drawn games.
Group 6
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1.Rodin 5.1----------5
2.Anaconda 2.0.1---4
Group 5
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1.Petir 4.39--------------10
2.cheng3 1.07 64-bit----7
Group 4
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1.ProDeo 1.8.1----------------------10
2.Deuterium 12.01.30.1070 x64----6
Group 3
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1.bright 0.5c---6
2.Naraku 1.4---6
Some good match-ups here-
george
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Rodin 5.1 (2554); 28.6 % of draws.
Anaconda 2.0.1 (2557); 35.2 % of draws.
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Petir 4.39 (2597); 37.3 % of draws.
cheng3 1.07 (2626); 30.5 % of draws.
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ProDeo 1.81 (2700); 37.7 % of draws.
Deuterium 12.01.30.1070 (2667); 37.2 % of draws.
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bright 0.5c (2784); 41.3 % of draws.
Naraku 1.4 (2772); 24.4 % of draws.
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Group 6: D = 31.9 %.
Group 5: D = 33.9 %.
Group 4: D = 37.45 %.
Group 3: D = 32.85 %.
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GROUP 6:
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1.- Rodin 5.1 ---------- 5
2.- Anaconda 2.0.1 ----- 4
Prob.(Rodin wins the 24-game match) ~ 54.5464 %.
Prob. (tied match) ~ 11.9031 %.
Prob. (Anaconda wins the 24-game match) ~ 33.5506 %.
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GROUP 5:
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1.- Petir 4.39 ------------- 10
2.- cheng3 1.07 64-bit ----- 7
Prob.(Petir wins the 24-game match) ~ 81.1434 %.
Prob. (tied match) ~ 10.3177 %.
Prob. (cheng3 wins the 24-game match) ~ 8.5390 %.
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GROUP 4:
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1.- ProDeo 1.8.1 -------------------- 10
2.- Deuterium 12.01.30.1070 x64 ----- 6
Prob.(ProDeo wins the 24-game match) ~ 97.2272 %.
Prob. (tied match) ~ 1.9273 %.
Prob. (Deuterium wins the 24-game match) ~ 0.8455 %.
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GROUP 3:
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1.- bright 0.5c ----- 6
2.- Naraku 1.4 ------ 6
Prob.(bright wins the 24-game match) ~ 48.9321 %.
Prob. (tied match) ~ 13.6895 %.
Prob. (Naraku wins the 24-game match) ~ 37.3784 %.
Ajedrecista wrote:Hi George!
Thanks for the update. I took a look on CCRL 40/40 list:geots wrote:The 2 matches running on the Inspiron Intel i5 are going much slower than the 2 that are running on the XPS i5. For one thing, the time control is slightly faster, but mainly the scores are much closer with more long drawn games.
Group 6
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1.Rodin 5.1----------5
2.Anaconda 2.0.1---4
Group 5
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1.Petir 4.39--------------10
2.cheng3 1.07 64-bit----7
Group 4
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1.ProDeo 1.8.1----------------------10
2.Deuterium 12.01.30.1070 x64----6
Group 3
-------
1.bright 0.5c---6
2.Naraku 1.4---6
Some good match-ups here-
george
I am surprised that cheng3 1.07 w32 has a rating of 2644 while cheng3 1.07 x64 has a rating of 2626... I know that they have a low number of games. I am also surprised about the low draw ratio of Naraku 1.4 (only 24.4%!).Code: Select all
Rodin 5.1 (2554); 28.6 % of draws. Anaconda 2.0.1 (2557); 35.2 % of draws. ------------------------------------------------ Petir 4.39 (2597); 37.3 % of draws. cheng3 1.07 (2626); 30.5 % of draws. ------------------------------------------------ ProDeo 1.81 (2700); 37.7 % of draws. Deuterium 12.01.30.1070 (2667); 37.2 % of draws. ------------------------------------------------ bright 0.5c (2784); 41.3 % of draws. Naraku 1.4 (2772); 24.4 % of draws.
I use my programme Probabilities_in_a_trinomial_distribution with the average draw ratio of each group as the probability of a draw for a single game in each group:
Four output files will be very long for a single post, so I will summarize them (I hope no typos). I calculate probabilities for 24 - (current number of games), then see if there is a tie (12 - 12, including the results of the update) or whatever programme wins, taking into account their rating differences on CCRL 40/40 and the probability of a draw that I choosed before:Code: Select all
Group 6: D = 31.9 %. Group 5: D = 33.9 %. Group 4: D = 37.45 %. Group 3: D = 32.85 %.
If you sum all the probabilities in each group, you will get the correct 100% in groups 3 and 4 while the incorrect 100.0001% in the other groups: it is due to rounding.Code: Select all
GROUP 6: -------- 1.- Rodin 5.1 ---------- 5 2.- Anaconda 2.0.1 ----- 4 Prob.(Rodin wins the 24-game match) ~ 54.5464 %. Prob. (tied match) ~ 11.9031 %. Prob. (Anaconda wins the 24-game match) ~ 33.5506 %. ----------------------------------------------------- GROUP 5: -------- 1.- Petir 4.39 ------------- 10 2.- cheng3 1.07 64-bit ----- 7 Prob.(Petir wins the 24-game match) ~ 81.1434 %. Prob. (tied match) ~ 10.3177 %. Prob. (cheng3 wins the 24-game match) ~ 8.5390 %. ----------------------------------------------------- GROUP 4: -------- 1.- ProDeo 1.8.1 -------------------- 10 2.- Deuterium 12.01.30.1070 x64 ----- 6 Prob.(ProDeo wins the 24-game match) ~ 97.2272 %. Prob. (tied match) ~ 1.9273 %. Prob. (Deuterium wins the 24-game match) ~ 0.8455 %. ----------------------------------------------------- GROUP 3: -------- 1.- bright 0.5c ----- 6 2.- Naraku 1.4 ------ 6 Prob.(bright wins the 24-game match) ~ 48.9321 %. Prob. (tied match) ~ 13.6895 %. Prob. (Naraku wins the 24-game match) ~ 37.3784 %.
It seems that Petir and specially ProDeo have done their job...
Let us wait and see the final results of these four 24-game matches! Thank you very much for your effort.
Regards from Spain.
Ajedrecista.