Question

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

Answer 1

$Area \: of \: the \: rectangular \: region =( 4.5 \times 9) {km}^{2} \\ = > 40.5 {km}^{2}$

$Area \: of \: the \: lake = (4.5 - 2)(9 - 6) \\ = > (2.5 \times 3) {km}^{2} = \\ = > 7.5 {km}^{2}$

$P \: (that \: it \: crashed \: inside \: the \: lake) = \frac{area \: of \: reactangular \: region}{area \: of \: lake} = \frac{7.5}{40.5} \\ = > \frac{5}{27}$