Question

In a cricket match, a batswoman hits a boundary $6$ times out of $30$ balls she plays. Find the probability that she did not hit a boundary.

Answer 1

Number of times the batswoman hit a boundary $=6$ (given)

Total balls she played $=30$

Probability (hitting a boundary) $=\frac{\text{Number of times she hit a boundary}}{\text{Total number of balls she played}}=\frac{6}{30}$

Probability (hitting a boundary) $=\frac{1}{5}$

Probability of not hitting a boundary $=1-$ Probability (hitting a boundary)

$=1-\frac{1}{5}=\frac{4}{5}$

Alternate Way

Number of times the batswoman does not hit a boundary $=$ Total balls she played - Number of times the batswoman hit a boundary

$=30-6=24$

Probability of not hitting a boundary $=\frac{\text{Number of times she does not hit a boundary}}{\text{Total number of balls she played}}$

$=\frac{24}{30}=\frac{4}{5}$