Chapter 2, Problem 19RP

a.

To determine

  $\angle PQSand\angle SQR$ are complementary

Answer to Problem 19RP

The probability is 1

Explanation of Solution

Given: $\angle PQR$ is a right angle

Concept used: Here, we are using formula of probability which is

  $\frac{No.offavorableoutcomes}{Totalno.ofoutcomes}$

Calculation: Here, the favorable outcomes are 1

Total no. of outcome is also 1

By putting these values in the above formula

So, we get the probability 1

Conclusion: Hence, the probability is 1

b.

To determine

  $\angle PQS$ is between $0^{\circ }and{45}^{\circ }$

Answer to Problem 19RP

Probability $\angle PQS$ is between $0^{\circ }and{45}^{\circ }$ is 0

Explanation of Solution

Given: $\angle PQR$ is a right angle

Concept used: Here, we are using formula of probability which is

  $\frac{No.offavorableoutcomes}{Totalno.ofoutcomes}$

Calculation: Here, the formula is $\frac{No.offavorableoutcomes}{Totalno.ofoutcomes}$ ................. $\left(1\right)$

Here, the favorable outcomes are 0

Total no. of outcome is also 0

By putting these values in the above formula

So, we get the probability 0

Conclusion: Hence, Probability $\angle PQS$ is between $0^{\circ }and{45}^{\circ }$ is 0