Chapter 13.3, Problem 42STP

(a)

To determine

To calculate:

The probability that the arrow lands on section $3$ .

Answer to Problem 42STP

The probability that the arrow lands on section $3$ is $\frac{1}{8}$ .

Explanation of Solution

Given information:

  

Calculation:

A spinner is divided into $8$ equal sections, so each section is a $45°$ sector of the circle. Each segment is labeled with integers $1-8$ .

Because the spinner’s arrow is equally likely to land on any one of the sections from $1-8$ , the probability that the arrow lands on section $3$ is $\frac{1}{8}$ .

(b)

To determine

To calculate:

The probability that the arrow lands on odd section.

Answer to Problem 42STP

The probability that the arrow lands on odd section is $\frac{1}{2}$ .

Explanation of Solution

Given information:

  

Calculation:

Within the integers $1-8$ , there are $4$ odd integers: $1,3,5and7$ . Because the spinner’s arrow is equally likely to land on any one of the sections from $1-8$ , and each section is a $45°$ sector of the circle, the probability that the arrow lands on an odd section is $\frac{4}{8}=\frac{1}{2}$ .