Answer
Probability of selecting a family with at least one male child = $\frac{7}{8}$
Work Step by Step
Total outcomes = (MMM, MMF, MFM, FMM, MFF, FMF, FFM, FFF) = 8
For selecting a family with at least one male child, the favorable outcomes = (MMM, MMF, MFM, FMM, MFF, FMF, FFM, ) = 7
Probability = $\frac{Favorable outcomes}{total outcomes}$
Probability of selecting a family with at least one male child = $\frac{7}{8}$