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

Answer

According to the question,
Area of the entire region where the helicopter can crash $= (4.5\times 9) km^2 = 40.5\ km^2$
Area of the lake $= (2.5\times  3) km^2 = 7.5\ km^2$
Probability that the helicopter crashed inside the lake$= \frac { 7.5 } { 40.5 } = \frac { 75 } { 405 } = \frac { 5 } { 27 }$

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