Question

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. find the probability of exactly five girls in ten births.

Answer 1

The probability is 0.246 or 24.6%.

We can use a binomial distribution for this:

$_nC_r(p)^r(1-p)^{n-r} \\ \\_{10}C_5(0.5)^5(0.5)^5 = 0.246$