What is the probability of winning x hands of blackjack in a row?
According to my blackjack appendix 4 the probability of a win is 43.31%, a loss is 47.89%, and a tie is 8.80%, give or take depending on the exact rules. Assuming you are ignoring ties the probability of a win is 47.49%. So the probability of x wins in a row is 0.4749x – For example the probability of 5 wins in a row is 0.47495=0.0242.
