In the group stage of the FIFA world cup 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. 1. 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. 2. 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. 3. 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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