Question

A batsman hits boundaries for $5$ times out of $25$ balls. Find the probability that he did not hit the boundaries.

• A. $\frac{2}{5}$
• B. $\frac{3}{5}$
• C. $\frac{4}{5}$
• D. None of the above

Answer 1

The correct option is C $\frac{4}{5}$

$\underset{–}{\text{Given}:}$
A batsman hits the boundaries for $5$ times out of $25$ balls

$\therefore$ The number of times the batsman did not hit the boundries $=25-5=20$

$\underset{–}{\text{Need to Find}:}$
Probability that the batsman did not hit the boundries

Here, Total possible outcomes $=25$

Number of favorable outcomes
$=$ Number of balls did not hit the boundries by the batsman
$=20$

$\text{Required probability}=\frac{\text{Number of favorable outcome}}{\text{Total possible outcome}}$

$\text{Required probability}$ $=\frac{20}{25}=\frac{4\times 5}{5\times 5}=\frac{4}{5}$

Therefore, option (c.) is the correct choive.