Question

A man can hit a target once in 4 shots. if he fires 4 shot in succession what isprobabiliyy

Answer 1

A man can hit a target once in 4 shots" means that the probability of hitting the target is 1/4, thus the probability of missing the target is 1-1/4=3/4.

The probability that he will hit a target while shooting 4 times is basically the probability that he will hit at least once, so 1-(the probability that he will miss all 4 times): 
$p = 1 - ( { \frac{3}{4} })^{4} \\ = 1 - \frac{9 \times 9}{16 \times 16} \\ = 1 - \frac{81}{256} = \frac{256 - 81}{256} \\ = \frac{175}{256}$