In the group stage of the basket ball game each team plays three games with the other members of its group. A win earns 3 points, a draw (tie) earns 1, and a loss earns 0 points. What are the different numbers of points a team can end up with at the end of group play (after 3 games)? Draw an event tree to work this out. If one team wins all of 3 of its games, what are the possible outcomes for the other three teams? Draw an event tree to work this out. If in every game it is equally likely that a team will win, draw, or lose, what is the probability that a team ends up with each of the possible number of points?

In the group stage of the basket ball game each team plays three games with the other members of its group. A win earns 3 points, a draw (tie) earns 1, and a loss earns 0 points. What are the different numbers of points a team can end up with at the end of group play (after 3 games)? Draw an event tree to work this out. If one team wins all of 3 of its games, what are the possible outcomes for the other three teams? Draw an event tree to work this out. If in every game it is equally likely that a team will win, draw, or lose, what is the probability that a team ends up with each of the possible number of points?

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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Question

In the group stage of the basket ball game each team plays three games with the other members of its group. A win earns 3 points, a draw (tie) earns 1, and a loss earns 0 points.

What are the different numbers of points a team can end up with at the end of group play (after 3 games)? Draw an event tree to work this out.
If one team wins all of 3 of its games, what are the possible outcomes for the other three teams? Draw an event tree to work this out.
If in every game it is equally likely that a team will win, draw, or lose, what is the probability that a team ends up with each of the possible number of points?

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