Amit, Sumit and Puneet were doing shooting. Amit hits the target 4 times in 5 shots, Sumit hits the target 3 times in 4 shots and Puneet hits the target 2 times in 3 shots.

Then the probability that Amit, Sumit and Puneet all may hit the target is :

$\frac{2}{5}$

A → Amit hits the target

S → Sumit hits the target

P → Puneet hits the target

from data,

so $P(A) = \frac{4}{5}, ~~P(S) = \frac{3}{4},~~P(P) = \frac{2}{3}$

Probability that all three hit target

= P(A) P(S) P(P)

=  $\frac{4}{5} × \frac{3}{4} × \frac{2}{3}$

= $\frac{2}{5}$