Answer to Question #284257 in Statistics and Probability for Babaon

Question

E. Mr. X is known to hit the target in 4 out of 5 shots, where as Mr. Y is known to hit the target in 3 out of 5 shots. Find the probability that both will hit the Target

Answer 1

$p(X)={4\over5}$ and $p(Y)={3\over5}$

Probability that both will hit the target is,

$p(hitting \space target)=p(X)\times p(Y)={4\over5}\times{3\over5}={12\over25}$

Therefore, the probability that both will hit the target is ${12\over25}$.