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4. The question, Do you smoke? was asked to 100 people. Results are shown in the table. 11 44 55 33 45 77 100 Pick a person randomly from the 100 people. Denote the event F the person is female, and Y Yes, the person smokes. Find the following conditional probabilities: a). P(Y) b). P(YIF) 5. Suppose you have two Bags, each contains 100 marbles: Bag 1 has 70 red and 30 blue marbles; Bag 2 has 60 red and 40 blue marbles. you pick one marble randomly rom Bag 1 and put it into Bag 2. Now you pick one marble randomly from Bag 2. What is the probability that you get a blue marble?
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