A single-elimination tournament with four players is to be held. In Game 1, the players seeded (rated) first and fourth play. In Game 2, the players seeded second and third play. In Game 3, the winners of Games 1 and 2 play, with the winner of Game 3 declared the tournament winner. Suppose that the following probabilities are given: P(seed 1 defeats seed 4) = .8 P(seed 1 defeats seed 2) = .6 P(seed 1 defeats seed 3) = .7 P(seed 2 defeats seed 3) = .6 P(seed 2 defeats seed 4) = .7 P(seed 3 defeats seed 4) = .6 a. Describe how you would use random digits to simulate Game 1 of this tournament. b. Describe how you would use random digits to simulate Game 2 of this tournament. c. How would you use random digits to simulate Game 3 in the tournament? (This will depend on the outcomes of Games 1 and 2.)
A single-elimination tournament with four players is to be held. In Game 1, the players seeded (rated) first and fourth play. In Game 2, the players seeded second and third play. In Game 3, the winners of Games 1 and 2 play, with the winner of Game 3 declared the tournament winner. Suppose that the following probabilities are given: P(seed 1 defeats seed 4) = .8 P(seed 1 defeats seed 2) = .6 P(seed 1 defeats seed 3) = .7 P(seed 2 defeats seed 3) = .6 P(seed 2 defeats seed 4) = .7 P(seed 3 defeats seed 4) = .6 a. Describe how you would use random digits to simulate Game 1 of this tournament. b. Describe how you would use random digits to simulate Game 2 of this tournament. c. How would you use random digits to simulate Game 3 in the tournament? (This will depend on the outcomes of Games 1 and 2.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A single-elimination tournament with four players is to be held. In Game
1, the players seeded (rated) first and fourth play. In Game 2, the players
seeded second and third play. In Game 3, the winners of Games 1 and 2
play, with the winner of Game 3 declared the tournament winner.
Suppose that the following probabilities are given:
P(seed 1 defeats seed 4) = .8
P(seed 1 defeats seed 2) = .6
P(seed 1 defeats seed 3) = .7
P(seed 2 defeats seed 3) = .6
P(seed 2 defeats seed 4) = .7
P(seed 3 defeats seed 4) = .6
a. Describe how you would use random digits to simulate Game 1 of this
tournament.
b. Describe how you would use random digits to simulate Game 2 of this
tournament.
c. How would you use random digits to simulate Game 3 in the
tournament? (This will depend on the outcomes of Games 1 and 2.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F483cf76e-ebe8-42e7-98f4-276bebb760ae%2F75be7472-f891-4ebd-b19f-18dcb73391ef%2F0zxj5r5_processed.png&w=3840&q=75)
Transcribed Image Text:A single-elimination tournament with four players is to be held. In Game
1, the players seeded (rated) first and fourth play. In Game 2, the players
seeded second and third play. In Game 3, the winners of Games 1 and 2
play, with the winner of Game 3 declared the tournament winner.
Suppose that the following probabilities are given:
P(seed 1 defeats seed 4) = .8
P(seed 1 defeats seed 2) = .6
P(seed 1 defeats seed 3) = .7
P(seed 2 defeats seed 3) = .6
P(seed 2 defeats seed 4) = .7
P(seed 3 defeats seed 4) = .6
a. Describe how you would use random digits to simulate Game 1 of this
tournament.
b. Describe how you would use random digits to simulate Game 2 of this
tournament.
c. How would you use random digits to simulate Game 3 in the
tournament? (This will depend on the outcomes of Games 1 and 2.)
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