The SPRT without draw model, elo model or whatever...

[abulmo2]

as events with probability zero do not occur

Can someone confirm or disprove this claim, please?

This is the other way around. An impossible event has a probability zero. For continuous random variable, the probability of each event is zero, but they do occur. Probabilities are then non zero on intervals of values.

[AlvaroBegue]

as events with probability zero do not occur

Can someone confirm or disprove this claim, please?

This is the other way around. An impossible event has a probability zero. For continuous random variable, the probability of each event is zero, but they do occur. Probabilities are then non zero on intervals of values.

When I was taking Geometry on my first year in college, my professor gave us the problem of finding the distance between two lines in 3D. He wrote the equations of two lines, making up some numbers on the spot, and asked us to prove that the lines don't intersect and then compute the distance between them. It turns out the lines did intersect. The he said: "This goes to show you that events with probability zero happen all the time."

[Michel]

This is the other way around. An impossible event has a probability zero. For continuous random variable, the probability of each event is zero, but they do occur. Probabilities are then non zero on intervals of values.

Well I wanted to keep things simple. I should have said that a random variable with zero variance is equal to its expectation value with probability one. I.e. mathematically P(X=EX)=1.