A probability problem by Syed Ahsanuddin
Probability
Level
1
A missing helecopter is reported to have crashed inside the lake shown in the figure.What is the probability that it crashed inside the lake shown in the figure?
5/26
27/5
5/72
5/27
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The helecopter is likely to crash anywhere in the region.
Area of entire region where the helecopter can crash=(9x4.5)Sq.km=40.5 Sq.km
The length and the breath of the lake =(9-6)km and (4.5-2)km respectively
i.e., l =3km and b =2.5km.
Area of lake=(3x2.5)km^2=7.5 Sq.km
i.e. P (probability that the helecopter can crash inside the lake)=7.5/40.5=75/405=5/27
Hence answer is 5/27