Question

Based on their previous record, a football club has a 65% chance of winning each match. Find the probability that the football club wins no more than 14 matches out of 25.

A. 0.734

B. 0.266

C. 0.548

D. 0.452

Answer 1

To find the probability that the football club wins no more than 14 matches out of 25, we can use the binomial probability formula. The probability of winning a match is 65%, so the probability of losing a match is 35%. The probability is approximately 0.734.

Step-by-step explanation:

To find the probability that the football club wins no more than 14 matches out of 25, we can use the binomial probability formula.

The probability of winning a match is 65%, so the probability of losing a match is 35%.

Let X be the number of matches won, the probability of winning no more than 14 matches out of 25 is:

P(X ≤ 14) = P(X = 0) + P(X = 1) + ... + P(X = 14)

We can calculate this probability using a binomial distribution calculator or a statistical software. The probability is approximately 0.734.