Chapter 6.7, Problem 7E

To determine

To find : the probability that the spinner stops at number which is a multiple of 3.

Answer to Problem 7E

The probability that the spinner stops at number which is a multiple of 3 is $\frac{\text{1}}{\text{4}}$ .

Explanation of Solution

Given information :

The spinner is divided into 8 equal parts and it stops at multiple of 3.

Calculation :

Here, Number of possible outcome is 8 and number is favourable outcome is 2 i.e. 3 and 6(multiple of 3)

Now, the theoretical probability that the spinner stops at multiple of 3 is

  $\begin{array}{l}P\left(\text{Spinner stops at numtiple of 3}\right)=\frac{\text{Number of favouarable outcome}}{\text{Number of possible outcome}}\\ P\left(\text{Spinner stops at numtiple of 3}\right)=\frac{2}{\text{8}}\\ P\left(\text{Spinner stops at numtiple of 3}\right)=\frac{\text{1}}{\text{4}}\end{array}$

Hence,

The probability that the spinner stops at 3 is $\frac{\text{1}}{\text{4}}$ .