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Unformatted text preview: University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Exam 1 23 October 2007 Name: Problem 1 (25 points) Answer the following questions: a. What is the probability that you and the person sitting next to you have the same birthday? Answer: 1 365 364 365 2 = 1 365 . b. What is the probability that the 52 cards will be divided into 3 piles of 15, 18, and 19 cards each, such that the first pile gets 3 black cards, the second pile gets 10 black cards, and the third pile gets 13 black cards? Answer: 26 3 , 10 , 13 ! 26 12 , 8 , 6 ! . c. Five cards will be selected without replacement from the 52card deck. What is the probability that all five cards are spades? Answer: 13 5 39 52 5 = 13 5 52 5 . d. Five cards will be selected without replacement from the 52card deck. What is the probability that we get 2 aces, 2 tens, and one five?...
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 Fall '09
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