In a cricket match , a batsman hits the boundary `5` times out of `40` balls played by him . Find the probability that the boundary is not hit by the ball.

Options

A. `1/8`
B. `3/8`
C. `5/8`
D. `7/8`

Answer

D

Explanation

Total number of balls thrown = 40 .
Number of times , the boundary is hit by the ball = 5.
Number of times , the boundary is not hit by the ball = 40 - 5
= 35 .
Let E be the event that the boundary is not hit by the ball.
Then ,
`P(E) = ("number of times the boundary is not hit by the ball")/("total number of balls thrown")`
= `(35)/(40) = (7)/(8)`.