Question

When a couple has seven children, with p(boy) = p(girl) =0.500: a) what is the probability that they have all boys? b) What is the probability they have at least one boy?

Answer 1

Given:

A couple has seven children.

n(S)=49

a)

Let A be the event that they have all boys.

$P(A)=\frac{1}{49}$

b)

Let B be the event that they have atleast one boy.

$P(B)=\frac{48}{49}$