Chapter 9, Problem 36RP

To determine

To find:The probability that tan of angle R is not a trigonometric ratio

Answer to Problem 36RP

Required probability = $\frac{5}{6}$

Explanation of Solution

Given information:

Triangle PQR is a right triangle

Formula used:

Required probability = $1-\frac{\text{Actual outcomes}}{\text{Total no}\text{. of outcomes}}$

Calculation :

There are six t − ratios

Each t- ratio has the probability of getting selected randomly = $\frac{1}{6}$

Therefore, the probability of getting tan $\angle R$ = $\frac{1}{6}$

Hence, the probability of not getting tan $\angle R$ = $1-\frac{1}{6}=\frac{5}{6}$