A missing helicopter is reported to have crashed somewhere in the rectangular region shown in Fig. 15.2. What is the probability that it crashed inside the lake shown in the figure?

Explanation

Let `A_R` is area of rectangular region in square km and `A_L` is area of lake in square km .

Required probability can be given by, `P(X) =A_L/A_R`

Now, `A_R = 9**4.5 = 40.5`

`A_L=(9-6)**(4.5-2) = 3**2.5 = 7.5`

So, `P(X) = 7.5/40.5 = 5/27`