Chapter 12.7, Problem 23PPE

To determine

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

Answer to Problem 23PPE

The number of odds is $5:1$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The objective is to find the probability of odds that are against 2.

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 favourable outcomes is 1 as out of 6 numbers on the spinner there is only number 2 that is in favour of 2.

The number of unfavourable outcomes is $5$ as there are five numbers on board that are against 2.

Then, the odds in against $2$ is,

  $\begin{array}{c}\text{odds}=\frac{5}{1}\\ =5:1\end{array}$