Question

1. (a) Find the probability that a 90% free-throw shooter makes 10 consecutive free-throws, assuming that individual shots are independent.

Answer 1

`Probability = 0.35`

Explanation:

Given

Probability of success free throw = 90%

Number of throw = 10

Required

Determine the probability of 10 consecutive free throws

Let p represents the given probability

`p = 90\%`

Convert to decimal

`p = 0.9`

Let n represents the number of throw

`n = 10`

Provided that each throw is independent;

The probability of n consecutive free throw is

`p^n`

Substitute 0.9 for p and 10 for n

`Probability = 0.9^(10)`

`Probability = 0.3486784401`

`Probability = 0.35` (Approximated)