Question

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. What is the probability that in a given throw, the ball does not hit the boundary?

(a) $\frac{1}{4}$

(b) $\frac{1}{5}$

(c) $\frac{4}{5}$

(d) $\frac{3}{4}$

Answer 1

ANSWER:
(c) $\frac{4}{5}$
Explanation:
Total number of balls faced = 30
Number of times the ball hits the boundary = 6
Number of times the ball does not hit the boundary = (30 − 6 )= 24
Let
E
P ( E )
be the event that the ball does not hit the boundary. Then,
= Number of times ball does not hit the boundary/Total number of balls = $\frac{24}{30}$ = $\frac{4}{5}$