Originally Posted by

**Vinod** This problem have been taken from the old paper of MASTER of COMMERCE Examination of well-known University in India.

The probability of a man hitting a target is $\displaystyle \frac14.$How many times must he fire so that the probability of his hitting the target at least once is greater than$\displaystyle \frac23$ ?

Answer: -

3.818 times i-e approximately 4 times

A man must fire 4 times so that the probability of his hitting the target at least once is greater than $\displaystyle \frac23$

Verify the answer, if found wrong reply me.

Answer is not available in the university paper set.So I don't know whether I solved the problem wrongly or correctly.