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A professional Rock, Paper, Scissors player can win a single game (trial) with probability 0.62. The player is up against an opponent. What is the probability that the player will win 2 games before the opponent wins 2 games? 0.8434 Hint: You want to add several values of a negative binomial distribution u(m, k, p) with k being the number of games needed to win and p being the probability of winning. What values of m (the number of games played) do you want? Can the player get 2 wins in 1 game? Can the player get 2 wins over 2 games without the opponent getting 2 wins? How about 3 games? 4? What is the probability that the player will win 1 game before the opponent wins 2 games? 2139/2500

A professional Rock, Paper, Scissors player can win a single game (trial) with probability 0.62. The player is up against an opponent. What is the probability that the player will win 2 games before the opponent wins 2 games? 0.8434 Hint: You want to add several values of a negative binomial distribution u(m, k, p) with k being the number of games needed to win and p being the probability of winning. What values of m (the number of games played) do you want? Can the player get 2 wins in 1 game? Can the player get 2 wins over 2 games without the opponent getting 2 wins? How about 3 games? 4? What is the probability that the player will win 1 game before the opponent wins 2 games? 2139/2500

A First Course in Probability (10th Edition)
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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A professional Rock, Paper, Scissors player can win a single game (trial) with probability 0.62. The player is up against an opponent. What is the probability that the player will win 2 games before the opponent wins 2 games? 0.8434 Hint: You want to add several values of a negative binomial distribution u(m, k, p) with k being the number of games needed to win and p being the probability of winning. What values of m (the number of games played) do you want? Can the player get 2 wins in 1 game? Can the player get 2 wins over 2 games without the opponent getting 2 wins? How about 3 games? 4? What is the probability that the player will win 1 game before the opponent wins 2 games? 2139/2500
Transcribed Image Text:A professional Rock, Paper, Scissors player can win a single game (trial) with probability 0.62. The player is up against an opponent. What is the probability that the player will win 2 games before the opponent wins 2 games? 0.8434 Hint: You want to add several values of a negative binomial distribution u(m, k, p) with k being the number of games needed to win and p being the probability of winning. What values of m (the number of games played) do you want? Can the player get 2 wins in 1 game? Can the player get 2 wins over 2 games without the opponent getting 2 wins? How about 3 games? 4? What is the probability that the player will win 1 game before the opponent wins 2 games? 2139/2500
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