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 three children will have the given composition. (Enter your answer to four decimal places.) At least one girl

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Answer:

0.875 or 87.5%

Step-by-step explanation:

For each child, there is an equal 1 in 2 probability of having a girl or a boy.

The probability of having at least one girl out of three children includes the probability of having 1, 2 or 3 girls. It can also be written as 100% minus the probability of having all boys, therefore:

[tex]P(G\geq 1)=1-P(B=3)\\P(G\geq 1)=1-(\frac{1}{2}*\frac{1}{2}*\frac{1}{2})\\ P(G\geq 1)=0.875[/tex]

The probability of having at least one girl is 0.875 or 87.5%.

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