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Question
Suppose you drop a tie at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1 m?
Solution
Suppose you drop a tie at random on the rectangular region shown in figure
: Probability that it will land in inside the circle of diameter 1m Total area of circle with diameter 1 m
`"Area of circle with diameter 1m"=pi(1/2)^2`
`=pi/4 m^2`
`"Area of reactangle" =3xx2`
` =6m^2`
`"We know that PROBABILITY" = "Number of favourable event"/"Total number of event"`
Hence probability that the tie will land in the circle is `pi/(4/6)=pi/24`
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