You select a family with four children. If M represents a male child and F represents 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 one male child.

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ShyzaSling ShyzaSling · Answer 1 · 2019-03-13T21:01:58+01:00

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

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

= 4

Probability = 4 / 16

= 1 / 4

= 0.25

wiseowl2018 wiseowl2018 · Answer 2 · 2019-03-14T06:56:39+01:00

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