Genetics: Simulating Population control A classical probability problem involves a king who wanted to increase the proportion of women by decreeing that after a mother gives birth to a son, she is prohibited from having any more children. The king reasons that some families will have just one boy, whereas other families will have a few girls and one boy, so the proportion of girls will be increased. Is his reasoning correct? Will the proportion of girls increase?

Solution 19BB

Each collection of 32 families would be expected to look like as follows where A represents one family with 5 or more girls and a boy.

B, B, B, B, B, B, B, B,

B, B, B, B, B, B, B, B,

GB, GB, GB, GB, GB, GB, GB, GB,

GGB, GGB, GGB, GGB, GGGB, GGGB, GGGGB, A

A gender count gives 32 boys and 31 or more girls, an approximately equal distribution of genders....