Team A has a 0.8 probability of a winning a game against team B. They play in
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Question:
Team A has a 0.8 probability of a winning a game against team B. They play in a best 5 out of 9 tournament. Each game results in a win or a loss. Assume the results of the games are independent. Find the probability of each event.
- Team A wins the tournament in 7 games.
- The tournament ends in exactly 7 games.
- Team A wins the tournament given the tournament ended in exactly 7 games.
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