Consider a family with 4 children. Assume the probability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5, and that the events "boy" and "girl" are independent.

(a)List the equally likely events for the gender of the 4 children, from oldest to youngest. (Let M represent a boy (male) and F represent a girl (female). Select all that apply.)

__FMMF

__FMFF

__MMFM

__FFFF

__MMFF

__MMMF

__MFMF

__FMFM

__FFMF

__FFFM

__MFFM

__MMMM

__FMMM

__FFMM

__MFMM

__MFFF

(b)What is the probability that all 4 children are male? (Enter your answer as a fraction.)

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Notice that the complement of the event "all four children are male" is "at least one of the children is female." Use this information to compute the probability that at least one child is female. (Enter your answer as a fraction.)

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