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Question
Some boys are playing a game, in which the stone thrown by them landing in a circular region is considered as win and landing other than the circular region is considered as a loss. What is the probability to win the game? (π = 3.14)
Solution
Area of a rectangle = l × b sq.feet
= 3 × 4 sq.feet
= 12 sq.feet
sample space (S) = 12
n(S) = 12
Let A be the event of getting the stone landing in a circular region
n(A) = Area of a circle
= πr2
= π × 1 × 1 ...(radius of a circle = 1 feet)
= π
P(A) = `("n"("A"))/("n"("S"))`
= `pi/12`
= `22/(7 xx 12)` or `3.14/12`
= `314/100`
= `157/600`
= `11/(7 xx 6)`
= `11/42`
Probability to win the game = `11/42` or `15/600`
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