Question

what is the probability of when a couple has 5 children that one will be a boy , assume boys and girls equally

Answer 1

0.156.

Explanation:

This is a binomial probability distribution,

P(x boy in n children)

= nC1 p^x (1 - p)^(n-x)

Here, n = 5, p = 1/2 and x = 1.

= 5C1 (1/2)^1 (1 - 1/2)(5-1)

= 5 * 1/2 * 1/2^4

= 0.156.