The probability of hitting a target is 1/8. What is the probability of hitting the target exactly twice in five tries

Step-by-step explanation:

Represent the probability of hitting the target with H.

So:

Represent the probability of not hitting the target with T.

So:

Required

Probability of exactly 2 hits in 5 tries

This probability is a binomial probability and will be calculated using:

In this case:

i.e 2 hits

i.e. 5 attempts

So, we have:

Apply combination formula:

Substitute values for H and T

Hence, the probability of 2 hits in 5 tries is 0.1047