exam1_100af07 - University of California, Los Angeles...

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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? 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? c. Five cards will be selected without replacement from the 52-card deck. What is the probability that all five cards are spades? d. Five cards will be selected without replacement from the 52-card deck. What is the probability that we get 2 aces, 2 tens, and one five? e. A box contains 2 apples, 2 oranges, 2 nectarines, 2 peaches, and 2 pears. Three fruits are selected at random without replacement. Find the probability that among the three at least 1 is an apple.
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exam1_100af07 - University of California, Los Angeles...

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