# Moderate Probability Solved QuestionAptitude Discussion

 Q. The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?
 ✖ A. 19/64 ✖ B. 23/64 ✖ C. 23/67 ✔ D. 37/64

Solution:
Option(D) is correct

Probability of a arrow not hitting the target $=\dfrac{3}{4}$

Probability that none of the 3 arrow will hit the target:

$=\left(\dfrac{3}{4}\right)^3$

$=\dfrac{27}{64}$

Probability that the target will hit at least once:

$=1-\dfrac{27}{64}$

$=\dfrac{37}{64}$