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2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly şelected jury of 12 people is all male.

2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly şelected jury of 12 people is all male.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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1. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? 2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly şelected jury of 12 people is all male. 3. In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn, they player wins second prize. What is the probability of winning this prize? 4. In a lottery game, a player picks six numbers from 1 to 48. If 4 of the 6 numbers match those drawn, they player wins third prize. What is the probability of winning this prize? 5. Compute the probability that a 5-card poker hand is dealt to you that contains all hearts. 6. Compute the probability that a 5-card poker hand is dealt to you that contains four Aces. 7. Compute the probability of randomly drawing five cards from a deck of cards and getting two Aces and three Kings. 8. A jury pool consists of15 people, 9 men and 6 women. Compute the probability that a randomly selected jury of 9 people consists of 6 male and 3 female. 9. A bag contains 3 gold marbles, 6 silver marbles, and 28 black marbles. Someone offers to play this game: You randomly select on marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if yo& play this game? 10. A friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pays you $3; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1. Compute the expected value for this game. Should you play this game? 11. In a certain state's lotterv 48 balls numbered 1 through 48 are placed in a machine and six of them
Transcribed Image Text:1. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? 2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly şelected jury of 12 people is all male. 3. In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn, they player wins second prize. What is the probability of winning this prize? 4. In a lottery game, a player picks six numbers from 1 to 48. If 4 of the 6 numbers match those drawn, they player wins third prize. What is the probability of winning this prize? 5. Compute the probability that a 5-card poker hand is dealt to you that contains all hearts. 6. Compute the probability that a 5-card poker hand is dealt to you that contains four Aces. 7. Compute the probability of randomly drawing five cards from a deck of cards and getting two Aces and three Kings. 8. A jury pool consists of15 people, 9 men and 6 women. Compute the probability that a randomly selected jury of 9 people consists of 6 male and 3 female. 9. A bag contains 3 gold marbles, 6 silver marbles, and 28 black marbles. Someone offers to play this game: You randomly select on marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if yo& play this game? 10. A friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pays you $3; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1. Compute the expected value for this game. Should you play this game? 11. In a certain state's lotterv 48 balls numbered 1 through 48 are placed in a machine and six of them
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