Assume that male and female births are equally likely and th

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 fourfour boys in ten births. Round the answer to the nearest thousandth.

Solution

Here events are equally likely so probaibility of birth is 1/10.

Hence P(x=4)= 1/4*1/4*1/4*1/4=1/256=0.00391.