Question

Select the correct answer.
When Kevin plays chess with Aaron, the probability that Kevin wins is 0.75. If Aaron and Kevin play 25 games, what is the probability that Kevin wins exactly 15 times?

A.
0.02

B.
0.32

C.
0.04

D.
0.97

Answer 1

P(X = 15) = C(25,15)(0.75)^15(0.25)^10 = 3,268,760(0.75)^15(0.25)^10 ≈ 0.0417 ≈ 0.04.

Answer: C.