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Unformatted text preview: STAT/MA 416 October 12, 2011 Problem Set 19 Name: 1. Hearts. In a game of chance, you are allowed to shuffle a standard deck of cards and then choose 3 cards randomly (without replacement). If two or more of them are hearts, then you win. a. What is the probability of winning the game? b. What is the expected number of hearts drawn? 1 2. Socks. In my sock drawer there are 21 white socks, 8 black socks, and 4 brown socks. (The socks are not folded into pairs.) a. If I randomly pull out 6 socks to take with me on a trip, what is the probability that I pull out exactly 2 socks of each color? b. What is the probability all the socks are the same color? c. What is the probability that I pull out 2 socks of one color and 4 socks of a second color? 2 3. Married couples. A group of men and women sit in a circle. There are 20 chairs in the circle, and 10 pairs of married individuals. What is the expected number of men who are sitting directly across the room from their (respective) wives?...
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 Fall '08
 Staff
 Probability, Probability theory, Dice, Albert, Card game

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