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Mathematics, 01.02.2021 22:40 aaliyahrice02

Assume four teams, the Antelopes, Bobcats, Cougars, and Donkeys, play a tournament. In the first round, the Antelopes play the Bobcats, and the Cougars play the Donkeys. The two winners meet in the finals for the championship. The Antelopes are the best team. They win any game they play with probability 0.7. The other three teams are all equal. Each one can beat one of the other two with probability 0.5. Assume the games are independent. What is the probability that each team wins the tournament?

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