Exercise 1. In a chess tournament, two players A and B play against each other, until one of the players wins a total of 5 games. (a) Suppose that A wins the tournament in 8 games, with no draws. How many different possible sequences of wins and losses by A could lead to this result? (b) Now add the possibility of draws. If the tournament still lasts 8 games, how many different possible sequences of wins, losses and draws could lead to A winning in 8 games?

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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**Exercise 1.** In a chess tournament, two players \( A \) and \( B \) play against each other, until one of the players wins a total of 5 games.

(a) Suppose that \( A \) wins the tournament in 8 games, with no draws. How many different possible sequences of wins and losses by \( A \) could lead to this result?

(b) Now add the possibility of draws. If the tournament still lasts 8 games, how many different possible sequences of wins, losses and draws could lead to \( A \) winning in 8 games?
Transcribed Image Text:**Exercise 1.** In a chess tournament, two players \( A \) and \( B \) play against each other, until one of the players wins a total of 5 games. (a) Suppose that \( A \) wins the tournament in 8 games, with no draws. How many different possible sequences of wins and losses by \( A \) could lead to this result? (b) Now add the possibility of draws. If the tournament still lasts 8 games, how many different possible sequences of wins, losses and draws could lead to \( A \) winning in 8 games?
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