Chapter 11.9, Problem 15E

a.

To determine

To find the probability that a basketball player makes both his free throws.

Answer to Problem 15E

The probability of making both his free throws is $\frac{1}{4}$

Explanation of Solution

Given information:

A basketball player makes about $50\%$ of his free throws.

Calculation :

The probability of the basketball player making his free throw is $\frac{50}{100}$

The probability that the player makes both his free throws is $\frac{50}{100}\times \frac{50}{100}=\frac{2500}{10000}=\frac{1}{4}$

Hence, the probability of making both his free throws is $\frac{1}{4}$

b.

To determine

To find the number of time the basketball player scores both the free throws.

Answer to Problem 15E

The basketball player can make both the free throws for $16$ times.

Explanation of Solution

Given information: The basketball player is awarded a free throw for a total of $65$ times.

Calculation :

The number of times the basketball player scores both the free throws can be calculated by:

  $\frac{1}{4}\times 65=16.25$

Hence, the basketball player can make both the free throws for $16$ times.