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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?
1285728_71a56cd8f91149c19a9c75eaebef0c40.PNG

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Solution

b'length of the rectangular field=9Km
breadth of the rectangular field=4.5Km
area of field,A=length*breadth
=9*4.5
=40.5Km2
length of the lake=(9-6)Km
=3Km
breadth of the lake=(4.5-2)Km
=2.5Km
Area of lake,a=3*2.5
=7.5Km2
Pr=aA=7.540.5=0.18

Thus the probability that it crashed inside the lake is 0.18
'

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