Question

in a certain country the true probability of a baby being a girl is 0.473 among the next five randomly selected births in the country what is the probability that at least one of them is a boy

Answer 1

This problem is about binomail probabilities, where n = 5, p(girl) = 0.473, p(boy) = 0.527.

The probability of at least one boy is

$P(\ge1)=1-p(7girls)=1-0.473^5\approx0.976$

Hence, there are 97.6% chances of one of them be a boy at least.