Question

In a cricket match, a batsman hits a boundary $4$ times out of the $32$ balls he plays. In a given ball, what is the probability that he does not hit the boundary?

• A. $\frac{1}{8}$
• B. $\frac{1}{7}$
• C. $\frac{7}{8}$
• D. $\frac{6}{8}$

Answer 1

The correct option is C

$\frac{7}{8}$

Find the probability of not hitting the boundary.

Given that, $N=32$

The number of times the batsman did not hit a boundary $=32-4$

$=28$

The probability of not hitting a boundary $P(notE)=\frac{Numberoffavorableoutcomes}{Totaloutcomes}$

$$\begin{gathered} =\frac{28}{32} \\ =\frac{7}{8} \end{gathered}$$

Therefore, option (c) $\frac{7}{8}$ is the probability that the batsman does not hit a boundary.