A family has four children. What is the probability that at least three of them are girls?
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Answered by
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The possible combinations for a family with four children are:
BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG*
GBBB
GBBG
GBGB
GBGG*
GGBB
GGBG*
GGGB*
GGGG*
Five of these sixteen outcomes have three or more girls, so assuming each child has an equal chance of being a boy or a girl, the probability is 5/16 or 31.25%.
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Step-by-step explanation:
What is the probability that a family with four children has at least three girls?
The possible combinations for a family with four children are:
BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG*
GBBB
GBBG
GBGB
GBGG*
GGBB
GGBG*
GGGB*
GGGG*
Five of these sixteen outcomes have three or more girls, so assuming each child has an equal chance of being a boy or a girl, the probability is 5/16 or 31.25%.
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