You select a family with four children. if m represents a male child and f a female child, the set of equally likely outcomes for the children's genders is {ffff, fffm, ffmf, fmff, mfff, mffm, mfmf, mmff, ffmm, fmfm, fmmf, fmmm, mfmm, mmfm, mmmf, mmmm}. find the probability of selecting a family with exactly three male children

Question

Answer:

There are 16 possible events. 4 of them involve the event of having exactly 3 male children, so the probability is [tex]\dfrac4{16}=\dfrac14[/tex].