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Homework2 - ST561 Fall 2010 Homework 2 Due Friday Oct 8th...

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ST561 Fall 2010 Homework 2 Due: Friday, Oct. 8th, 2010 1. (From Homework 1) Four cards are drawn from a deck of 52, without replacement. (a) What is the probability that all 4 cards are aces? (b) What is the probability of drawing, in order, the aces of clubs, diamonds, hearts and spades? (c) Answer (a) and (b) above if each card is replaced (and the deck shuffled) after it is drawn. 2. Suppose that 10 married couples, 5 men and 5 women, decided to purchase ten seats all in a row at the Fall Light Opera Performance Hall. If, after the tickets arrived, they were passed out completely at random to the ten people, how many different ways would it be possible for each of the following events to occur: (a) All of the men are seated together in contiguous seats. (b) Each person is seated next to a person of the opposite sex. (c) Each person is seated next to his or her spouse (d) What is the probability that each person will be seated next to his or her spouse?
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