Answer 1

Answer:

The probability of selecting a family with exactly one male child is 1/4 or 0.25.

Step-by-step explanation:

Given in the question,

possible outcomes for the children's genders

{FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}

= 16

To find,

the probability of selecting a family with exactly one male child

Probability = favourable outcomes / possible outcomes

favourable outcomes = {FFFM,​ FFMF, FMFF,​ MFFF}

                                    = 4

Probability = 4 / 16

                  = 1 / 4

                  = 0.25    

Answer 2

Answer:

The probability of selecting a family with exactly one male child is 1/16  

Step-by-step explanation:

As given the family of four children. Total possible outcomes are

{FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}

Possible outcome with one male child are {FFFM,​ FFMF, FMFF,​ MFFF}

Total = 16

With 1 male = 4

Probability (P) of one male = 4/16

P = 1/16