So lets say there is a streak for the cash group that all ponies up an ante and agrees that the first player to hit 10 wins in a row wins the pot. How can we figure out the probability of any one player winning over x number of plays?
I am aware the basic operation for streaks is p^n, but does this change due to players often winning and losing on the same picks? And how does more or less players in the pool affect the probability of someone winning sooner over later?