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math319_S10_Quiz2

math319_S10_Quiz2 - nine orchids 3 A 5-card hand is drawn...

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Math 319, Spring 2010 Quiz 2 Thursday, March 4, 2010 9.05-9.40 am Name : No use of notes or textbook - For full credit, show your work - Work alone 1. (a) A committee consisting of a president, a vice president, a secretary, and a treasurer is to be selected from a club of 10 people. In how many ways can the committee be selected? (b) An experiment consists of rolling a die five times. What is the number of outcomes (each a 5-vector) in the sample space of this experiment? 1

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2. In an orchid show, several orchids are to be placed along one side of the greenhouse. (a) Suppose there are seven orchids for the lineup of which four are lavender and three are white. Con- sidering only the color of the orchids, what is the total number of different lineups of these seven orchids? (b) Suppose there are nine orchids for the lineup of which four are lavender, three are white, and two are yellow. Considering only the color of the orchids, what is the total number of different lineups of these

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Unformatted text preview: nine orchids? 3. A 5-card hand is drawn from a deck of 52 cards. Calculate each of the probabilities asked for below. Brieﬂy explain your answer in each case. (a) Let A be the event that all 5 cards are spades. What is P ( A )? (b) Let B be the event that exactly 3 of the cards are queens and exactly 2 of the cards are kings. What is P ( B )? (c) Let C be the event that there are exactly two queens, two kings, and one jack in the hand. What is P ( C )? 4. An art collection on auction consisted of 4 Dalis, 5 van Goghs, and 6 Picassos. There were 5 art collectors at the auction. If a reporter noted only the number of Dalis, van Goghs, and Picassos acquired by each collector, how many diﬀerent results could have been recorded if all of the works were sold? Brieﬂy explain your answer....
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math319_S10_Quiz2 - nine orchids 3 A 5-card hand is drawn...

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