Chapter 13, Problem 16PT

To determine

Find the probability for which the pointer not lands on yellow as shown in figure below.

  

Answer to Problem 16PT

The probability of pointer not landing on yellow is $\frac{11}{12}$ .

Explanation of Solution

Given information: The given figure is shown as,

  

Calculation: From the geometric probability concept, the probability $P\left(\text{pointer not land on yellow}\right)$ is evaluated as,

  $\begin{array}{c}P\left(\text{pointer not land on yellow}\right)=1-P\left(\text{pointer land on yellow}\right)\\ =1-\frac{30°}{360°}\\ =1-\frac{1}{12}\\ =\frac{11}{12}\end{array}$

Hence the probability of pointer not landing on yellow is $\frac{11}{12}$ .