Question

A chopper was found missing allegedly in the area shown below:
What is the probability it crashed into the lake?

• A. 0.25
• B. 0.185
• C. 0.352
• D. 0.5

Answer 1

The correct option is B 0.185

The helicopter is equally likely to crash anywhere in the region.
The total area = $4.5\times 9$ = 40.5 km ${}^2$

The dimensions of the lake can be found out from the figure:
Length of the lake = (9-6) = 3 km
Breadth of the lake = (4.5 - 2) = 2.5 km

Hence, the area of the lake = 3 $\times$ 2.5
= 7.5 km${}^2$

$\therefore$ Probability of the helicopter falling into the lake = $\frac{7.5}{40.5}$ = 0.185