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
• C. $\frac{3}{28}$
• D. $\frac{5}{27}$

Answer 1

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

$\text{Area of the whole region}=(4.5\times 9)k{m}^2=40.5k{m}^2$
$\text{Area of the lake}=(3\times 2.5)k{m}^2=7.5k{m}^2$
$\text{P(Helicopter crashing in the lake)}=\frac{\text{area of the lake}}{\text{area of the recangle}}=\frac{7.5}{40.5}=\frac{75}{405}=\frac{5}{27}$