Pregunta
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 four
female children.
The probability of having exactly four female children is
(Type an integer or a simplified fraction.)
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 four
female children.
The probability of having exactly four female children is
(Type an integer or a simplified fraction.)
Ask by Vaughan Knight. in the United States
Mar 31,2025
Solución de inteligencia artificial de Upstudy
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The probability of selecting a family with exactly four female children is
Solución
-
The sample space for four children consists of
equally likely outcomes. -
The specific outcome of having exactly four female children is represented by
, which is just one outcome. -
Thus, the probability is
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Simplifique esta solución Extra Insights
There are a total of 16 equally likely outcomes in the set, as each child can either be male (M) or female (F), leading to
To find the probability, you would take the number of successful outcomes (1) and divide it by the total number of outcomes (16):
So the probability of selecting a family with exactly four female children is
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