provide a written description of the complement of the given

provide a written description of the complement of the given event, then find the probability of the complement.

When a couple has five children, none of the five is a girl. (assume that boys and girls are equally likely)

Solution

6.

When a couple has five children, none of the five is a girl.

Complement: When a couple has five children, at least one of the five is a girl.

Hence,

P(at least one of the five is a girl) = 1 - P(no girls) = 1 - P(all boys) =

= 1 - 0.5*0.5*0.5*0.5*0.5 = 0.96875 [ANSWER]