210hw11 - (i) How many possible hands are there? (Its a big...

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Math 210 Homework 11 Due Monday May 9th 1. This question involves the 8 leaders of the G8 countries: Berlusconi, Cameron, Harper, Kan, Medvedev, Merkel, Obama, Sarkozy. (i) In how many ways can the 8 of them stand in a line? (ii) In how many ways can the 8 of them sit at a round table? (iii) If they stand in a line, what’s the probability that Obama is next to Harper? (iv) If they sit at a round table, what’s the probability that Obama is next to Harper? (v) If they sit at a round table, what’s the probability that Obama is next to neither Harper nor Cameron? 2. In the game of bridge, an ordinary deck of 52 cards (13 cards of each suit) is dealt to 4 players. Thus, a hand consists of 13 cards.
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Unformatted text preview: (i) How many possible hands are there? (Its a big number.) (ii) Whats the probability that a hand consists of three clubs, three hearts, three spades, and four diamonds? (iii) Whats the probability that a hand consists of two clubs, three hearts, four spades, and four diamonds? (iv) Whats the probability that a hand consists of three of one suit, three of another suit, three of another suit, and four of another suit? (v) Whats the probability that a hand consists of two of one suit, three of another suit, four of another suit, and four of another suit? 1...
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