Chapter 13.3, Problem 12PPS

To determine

To calculate:

The probability that point chosen at the random lies in shaded region:

Answer to Problem 12PPS

The probability of the point chosen at the random lies in shaded region is $\frac{3}{8}$ .

Explanation of Solution

Given information:

  

Calculation:

The probability that point chosen at the random lies in shaded region by dividing the area of shaded region by the area of given figure:

  $P\left(A\right)$ : P (Point lies in shaded region)

  $A$ : Area of shaded region

  $S$ : Area of entire region

  $\begin{array}{l}P\left(A\right)=\frac{A}{S}\\ P\left(A\right)=\frac{6}{16}\\ P\left(A\right)=\frac{6}{16}\\ P\left(A\right)=\frac{3}{8}\end{array}$

The probability of the point chosen at the random lies in shaded region is $\frac{3}{8}$ .