Question

In a cricket match, a batsman hits a boundary 5 times every 30 balls he plays. Find the probability that he did not hit a boundary.

• A. $\frac{1}{2}$
• B. $\frac{5}{6}$
• C. $\frac{1}{6}$
• D. $\frac{1}{3}$

Answer 1

The correct option is B $\frac{5}{6}$

Probability = $\frac{No.oftrialswheretheeventhappened}{Totalno.oftrials}$

P (Hitting a boundary) $=\frac{5}{30}$

We know that the sum of probabilities of all possible outcomes of an event is 1.

So, P(not hitting a boundary)
$=1-\frac{5}{30}=\frac{25}{30}=\frac{5}{6}$