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6. Suppose that you are dealt four cards, at random, from a standard deck. a. What is the probability that exactly three of these cards will be spades? Total Possibilities: 52 * 51 * 50 * 49 =6,497,400 S,O,S,S S,S,S,O O,S,S,S S,S,O,S Each Spade can be one of 13 cards, then 12, then 11 and each other is one of 39, therefore each is 66,924 * 4: 267,696/6,497,400=0.0412 What is the probability that at least three of these cards will be spades? P(4 Spades): 13*12*11*10=17,160/6,497,400=0.0026 P(AtLeast3)= 0.0412 + 0.0026: 0.0438Â
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