If the probability that the Islanders will beat the Rangers in a game is 1/6, what is the probability that the Islanders will win at most one out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.

Answer 1

this is binomial ... win or lose

win at most one ... win one or none

p(win) = 1/6 ... p(lose) = 5/6

(L + W)^6 = L^6 + 6 L^5 W + ... + W^6

summing the 1st two terms
... p(win at most one) = (5/6)^6 + [6 * (5/6)^5 * (1/6)]