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Two hockey teams, the Alphas and Betas, are competing in a 7—game championship match

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Two hockey teams, the Alphas and Betas, are competing in a 7—game championship match. The ?rst team to win four games wins the championship. Assume the Alphas win a game with probability .6, and the Betas win a game with probability .4. (a) What is the probability of the Alphas winning four games in a row? (b) What is the probability that the match ends after four games? Remember that either team can win. (c) What is the probability that the match ends after ?ve games? Hint: remember that the last game of the match must be won by the winner of the full match.