If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will win at least six out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.

0.014

Step-by-step explanation:

The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).

This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.

Thus:

The probability is:

The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.

536

step-by-step explanation: