A soccer team is playing in a tournament this weekend. The possible outcomes of a game are win or lose. In the event of a tie at the end of regulation, the teams will play overtime until one team is declared the winner. Assume the outcomes of winning or losing a game are equally likely. The events of winning or losing a game are independent of winning or losing the next game. The team will play up to 3 games in the tournament. Once a team loses they are out of the tournament and will not play any further games.    a) Construct a tree diagram to represent the possible outcomes for the team's game results in the tournament.    b) List all the possible outcomes for the team's game results in the tournament.

MATLAB: An Introduction with Applications
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A soccer team is playing in a tournament this weekend. The possible outcomes of a game are win or lose. In the event of a tie at the end of regulation, the teams will play overtime until one team is declared the winner. Assume the outcomes of winning or losing a game are equally likely. The events of winning or losing a game are independent of winning or losing the next game. The team will play up to 3 games in the tournament. Once a team loses they are out of the tournament and will not play any further games.
   a) Construct a tree diagram to represent the possible outcomes for the team's game results in the tournament.
   b) List all the possible outcomes for the team's game results in the tournament.

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