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In: Statistics and Probability

1. Assumptions: Two child family, the probability of a boy or girl is .5, sex of...

1. Assumptions: Two child family, the probability of a boy or girl is .5, sex of one child in the family is independent of the sex of the other child.

Case A: With no other information given, what is the probability that a family has 2 girls?

Case B: A family has at least 1 girl, what is the probability that a family has 2 girls?

Case C: A family has at least 1 girl who is its first born child, what is the probability that a family has 2 girls?

Comment: As we move from Case A to Case B to Case C, we have more information and the probability space shrinks and the probability of a 2-girl family increases.

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