319handout2 - (b) four teams of 2 people each, each team...

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Econ 319, Fall 2008 TA: Simon Kwok Handout 2 1. A roulette wheel has 38 numbers: 0 ; 00 ; 1 ; 2 ; 3 ;:::; 36 : In addition, 0 and 00 are green, and from 1 to 36 , half are black and half are red (alternating between the two colors). Suppose we spin the wheel once. Find the probability that the pointer stops at (a) a red colored number (b) a non-black number (c) an odd number (d) any number in the 3rd dozen 2. Select 2 di/erent letters from f A;B;C;D;E g : Assume that the 10 possible pairs f AB;AC;AD;AE;BC;BD;BE;CD;CE;DE g are equally likely. (a) What is the probability that a particular letter is one of those selected? (b) What are the total number of ways to arrange these letters in groups of three? 3. How many ways can one arrange 5 literature books and 4 math books on a shelf? 4. How many ways can one divide a group of 8 individuals into (a) two teams, one of 3 people, and one of 5 people?
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Unformatted text preview: (b) four teams of 2 people each, each team with a di/erent task? (c) four teams of 2 people each, each team with the same task? 5. A game of bridge is played with four players, each with 13 cards out of a 52-card deck. Within the four players, there are two pairs of partners (who sit across from each other). (a) I know that I have one ACE in my hand, what is the probability that my partner has no aces? (b) (Unrelated to part a) If I know that my partner and I have the ACE and QUEEN of spades, but not the KING and JACK of spades, what is the probability that the KING and JACK of spades are held by the player on my left? 6. Given Pr( A ) = 0 : 59 ; Pr( B ) = 0 : 30 ; Pr( A \ B ) = 0 : 21 : Find: (a) Pr( A [ B ) =? (b) Pr( A \ B ) =? (c) Pr( A [ B ) =? (d) Pr( A \ B ) =? 1...
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This note was uploaded on 10/19/2008 for the course ECON 3190 taught by Professor Hong during the Fall '07 term at Cornell University (Engineering School).

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