Question

A basketball team won 72.5% of their games. Find the probability they win 16 if their next 30 games.

Answer 1

0.00987

Explanation:

Using binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.725 ; number of trial, n = 30

Number of winning, x = 16

1 - p = 1 - 0.725 = 0.275

P(x = 16) = 30C16 * 0.725^16 * 0.275^14

P(x = 16) = 119759850 * 0.725^16 * 0.275^14

P(x = 16) = 0.00987

Hence, the probability of winning 16 of their next 30 games is 0.00987