Several million lottery tickets are sold, and 60% of the tickets are held by women. Five winning tickets will be drawn at random.
a. What is the probability that three or fewer of the winners will be women?
b. What is the probability that three of the winners will be of one gender and two of the winners will be of the other gender?
Let X be the number of women among the five winners. Then X ~ Bin(5, 0.6).
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