In: Statistics and Probability
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.