Chapter 12.7, Problem 26PPE

To determine

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

Answer to Problem 26PPE

The number of odds 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 odds that are in favour of the blue.

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 $3$ as there are $3$ colours that are in favour the blue.

The number of unfavourable outcomes is $3$ as there are $3$ colours on spinner that are against blue.

Then, the odds in favour the blue is,

  $\begin{array}{c}\text{odds}=\frac{3}{3}\\ =1\end{array}$