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)

Answer 1

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`