Chapter 11.8, Problem 1WE

To determine

To Find: The probability that the point is on $MQ$ .

Answer to Problem 1WE

  $\frac{1}{4}$

Explanation of Solution

Given: $M$ is the midpoint of $AB$ and $Q$ is the midpoint of $MB$ . If a point of $AB$ is picked at a random.

  

  $\begin{array}{l}\text{probability=}\frac{\text{length of MR}}{\text{length of AB}}\\ Now\\ \text{length of MQ=}\frac{1}{2}\cdot \frac{1}{2}\cdot \text{length of AB}\\ therefore\\ \text{probability=}\frac{\frac{1}{2}\cdot \frac{1}{2}\cdot \text{length of AB}}{\text{length of AB}}\\ \text{Probability}=\frac{1}{4}\end{array}$

Hence, the probability that the point is on $MQ$ is $\frac{1}{4}$ .