Question

What is the probability of winning exactly 7 out of 11 games if your chance to win is 65%? Round your answer to two decimal places.

Answer 1

Let the random variable X denotes the number of games won.

The total number of games (n) is 11.

The probability of success (p) that is probability that winning a game is 65%.

Since, each game is independent of the other and probability of success is same for each game.

Hence, assume,

The mass function of X can be obtained from statistical tables:

for all

The probability of winning exactly 7 out of 11 games if your chance to win is 65% can be obtained as:

Therefore, the probability of winning exactly 7 out of 11 games if your chance to win is 65% is 0.24.