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# MT1 - Feb 7 2008 NAME Math 425 SECTION 8 MIDTERM 1 Problem...

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Unformatted text preview: Feb 7, 2008 NAME: Math 425, SECTION 8 MIDTERM 1 Problem 1 [20 pts] A poker hand consisting of 5 cards is dealt from a standard deck of 52 cards. Assume that all combinations are equally likely to occur. What is the probability that the hand is: (a) a flush (that is, all five cards are of the same suit)? (b) a pair (that is, there are two cards of the same denomination, and the rest are of different denominations) ? 1 Problem 2 [20 points] (a) Ten students are randomly divided into Team A and Team B, with 5 students each. How many divisions are possible? (b) Among the ten students, there are two brothers: John and Fred. What is the probability that they are both in the same team? Please state clearly the assumptions you are making. 2 Problem 3 [20 points] (a) What does it mean for three events E , F , G to be independent? (b) A pair of dice is thrown. Consider the following events: E = the first die equals 3 F = the second die equals 4 G = the sum of the two is 7 Are the events E and G dependent or independent? Please explain....
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MT1 - Feb 7 2008 NAME Math 425 SECTION 8 MIDTERM 1 Problem...

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