A single-elimination tournament with four players is to be held. In Game1, the players seeded (rated) first and fourth play. In Game 2, the playersseeded second and third play. In Game 3, the winners of Games 1 and 2play, with the winner of Game 3 declared the tournament winner.Suppose that the following probabilities are given:P(seed 1 defeats seed 4) = .8P(seed 1 defeats seed 2) = .6P(seed 1 defeats seed 3) = .7P(seed 2 defeats seed 3) = .6P(seed 2 defeats seed 4) = .7P(seed 3 defeats seed 4) = .6a. Describe how you would use random digits to simulate Game 1 of thistournament.b. Describe how you would use random digits to simulate Game 2 of thistournament.c. How would you use random digits to simulate Game 3 in thetournament? (This will depend on the outcomes of Games 1 and 2.)

The following solution is given below:

Answered: A single-elimination tournament with…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Suppose that Trendy Inc. products a style of a seasonal business suit, Sit-T-Slicker, which has a cost of $500 per unit. The demand during the season for Sit-T-Slicker is generally unknown and could be either: 200, 500, 800, 1100, and 1500 units with equal probabilities. Trendy sells the Sit-T-Slicker suit for $900 per unit during its three-month season, and for $300 per unit when sold after that time. Given the above data, what is the optimal order quantity for the Sit-T-Slicker? What is expected profit? Suppose the probabilities in part a change to 0.05, 0.25, 0.40, 0.25, 0.05 for demand levels 200, 500, 800, 1100, 1500, respectively. What is the optimal order quantity and expected profit in this case? How would better information regarding the demand for the Sit-T-Slicker suit change the data provided in this problem? How would this information affect the answers to part a? Explain.
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A paper bag contains a mixture of three types of treats: 12 granola bars, 10 fruits bars, and 8 cheese strips. Suppose that you play a game in which a treat is randomly taken from a bag and replaced, and then a second treat is drawn from the bag. You are allowed to keep the second treat only if it was thesame type as the treat that was drawn the first time. Determine the probability that you'll be able to keep a cheese strip.
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
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A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL
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