Question: The sample space that describes all three-child families according to the genders of the children with respect to birth order is
S = {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}.
For each of the following events in the experiment of selecting a three-child family at random, state the complement of the event in the simplest possible terms, then find the outcomes that comprise the event and its complement.
a. At least one child is a girl.
b. At most one child is a girl.
c. All of the children are girls.
d. Exactly two of the children are girls.
e. The first born is a girl.