Chapter 12.7, Problem 15PPE

To determine

To find: The theoretical probability of landing on the given section of the spinner.

Answer to Problem 15PPE

The required probability is $\frac{1}{2}$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The objective is to find the probability of $P\left(\text{even}\right)$ is.

Consider the formula for the probability of the event is of the form,

  $P=\frac{\text{number}\text{of}\text{favorable}\text{outcomes}}{\text{number}\text{of}\text{possible}\text{outcomes}}$

From, the figure the number of possible outcomes is 6 and the favourable outcomes is 3 as there are only 3 even numbers on the spinner.

Then, the theoretical probability of landing on the $P\left(\text{even}\right)$ section of the spinner is,

  $\begin{array}{c}P\left(\text{even}\right)=\frac{3}{6}\\ =\frac{1}{2}\end{array}$