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20101ee131A_1_SAMPLE MIDTERM_winter-2009-midterm

# 20101ee131A_1_SAMPLE MIDTERM_winter-2009-midterm - 1 Winter...

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Unformatted text preview: 1 Winter 2009 Midterm Problem 1: ( 20 pts. ) A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 cards of the same denomination. That is, a full house is three of a kind plus a pair. Assuming that ve cards are picked randomly from a full deck comprising 52 cards, what is the probability that the ve cards form a full house? Note: A denomination is a set of four cards with the same numbers, one from each suit. For example, the four Aces, one from each suit, form one denomination; similarly the four kings form a denomination. There are 13 denominations in a full pack of cards. Problem 2: ( 25 pts. ) Consider the following gambling game. A player bets on one of the numbers 1 through 6. Three dice are then rolled and and if the numbers bet by the player appears i times, i = 1 , 2 , 3 , then the player wins i dollars. The player, however, loses a dollar if the number bet by the player does not appear on any of the dice. For example, if the player betsthe number bet by the player does not appear on any of the dice....
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20101ee131A_1_SAMPLE MIDTERM_winter-2009-midterm - 1 Winter...

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