Question

A basketball player's probability of making a free throw is 0.9. When the player makes two free throws in a row, X is the number of free throws made.
What is P(X = 2)?



Enter your answer, as a decimal, in the box.

P(X = 2) =

Answer 1

Answer:

0.81

Step-by-step explanation:

P(success) = 0.9

P(failure) = 1 - 0.9 = 0.1

Binomial probability:

P(X=n) = nCr (0.9)^n (0.1)^r

Here, n=2 and r=0:

P(X=2) = ₂C₀ (0.9)² (0.1)⁰

P(X=2) = 0.81