Question: Problem 4 Definition of conditional probability: P(a | b) = P(a ^ b) /P(b) = P(b) > 0 Product rule gives an alternative formulation: P(a^b)

Problem 4

Definition of conditional probability:

P(a | b) = P(a ^ b) /P(b) = P(b) > 0

Product rule gives an alternative formulation: P(a^b) = P(a|b) P(b) = P(b|a) P(a).

Tom has 2 children. He picks one of them at random and comes by your house; he brings a girl named

Jennifer (his daughter). What is the probability that Jennifers sibling is a girl?

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