Question

A missing helicopter is reported to have crashed somewhere in the rectangular region shown below. Find the probability of it crashing in the lake.

• A. $\frac{4}{29}$
• B. 0.0
• C. $\frac{3}{28}$
• D. $\frac{5}{27}$

Answer 1

The correct option is D $\frac{5}{27}$

Area of the whole region $=(4.5\times 9)k{m}^2=40.5k{m}^2$

Dimension of lake is given by

length of lake $=(9-6)=3cm$

Breadth of the lak6 $=(4.5-2)=2.5cm$

Area of the lake $=(3\times 2.5)k{m}^2=7.5k{m}^2$

Probability (Helicopter crashing in the lake)

$=\frac{\text{area of the lake}}{\text{area of the recangle}}$

$=\frac{7.5}{40.5}$

$=\frac{75}{405}$

$=\frac{5}{27}$