Chapter 12.7, Problem 20PPE

To determine

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

Answer to Problem 20PPE

The required probability is $1$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The objective is to find the probability of $P\left(\text{even}\text{or}\text{odd}\right)$ 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 $6$ as all the numbers on the spinner are either even or odd.

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

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