Chapter 12, Problem 15CT

To determine

To find: the theoretical probability of landing on the given sections on blue zone by the spinner.

Answer to Problem 15CT

  $p\left(blue\right)=\frac{1}{4}.$

Explanation of Solution

Given:

  

Concept used:

Probability is a type of ratio where how many times an outcome can occur compared to all possible outcomes.

  $p\left(event\right)=\frac{numberoffavourableoutcome}{numberofpossibleoutcome}.$

Calculation:

Orange section $=2$ .

Blue section $=1$ .

Green section $=1$ .

Total sections $=4$ .

Number of favorable outcomes getting blue is $1$ .

Number of possible outcomes or total sections is $4$ .

  $\begin{array}{l}p\left(event\right)=\frac{numberoffavourableoutcomes}{numberofpossibleoutcomes}.\\ p\left(blue\right)=\frac{1}{4}.\end{array}$

Hence, $p\left(blue\right)=\frac{1}{4}.$