Question

A basketball player is known to make 85% of their free throw shots. If she is allowed to take 20 such shots in one game find these probabilities Find the probability that she makes exactly 15. 00.3523 0.1706 O 0.0454 0.1028

Answer 1

Solution

Given that ,

p = 0.85

1 - p = 1 - 0.85 = 0.15

n = 20

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

P(X = 15) = (₂₀ C ₁₅) * (0.85)¹⁵ * (0.15)⁵

= 0.102845

Probability = 0.1028