Assume that the probability of a boy being born is the same as the probability o

Question

Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given composition. (Enter your answer to three decimal places.) Three boys and one girl Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given composition. (Enter your answer to four decimal places.) At least one girl

Explanation / Answer

A.5) Given,

family has 4 children

boys and girls have equal probability

to find,

P(3B,1G)

total combinations of having 4 kids is given as 2^4=16 ways

total combinations of having 3 boys is given as 4C3=4 ways

hence P(3B,1G) =4/16=0.25

A.6) P(at least 1 G)=1-P(having zero G)

total combinations of zero girls or 4 boys is given as 4C0=1 ways

therefore, P(having zero G)=1/16

P(at least 1 G)=1-P(having zero G)

P(at least 1 G)=1-1/16=15/16

P(at least 1 G)=0.9375

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