A couple decides to have children until they have one boy and one girl, but they will not have more than three children. The sample space of possible outcomes is S = {GB, BG, BBG, GGB, BBB, GGG}.

Consider the following events:

A–the couple has one boy

C–the couple has three children

D–all of the children are the same gender

Determine if the following pairs of events are disjoint.

A and C Select an answer disjoint not disjoint

A and D Select an answer disjoint not disjoint

C and D Select an answer disjoint not disjoint