On the morning of September 30, 1982, the won–lost records of the three leading baseball teams in the Western Division of the National League were as follows:
Each team had 3 games remaining. All 3 of the Giants’ games were with the Dodgers, and the 3 remaining games of the Braves were against the San Diego Padres. Suppose that the outcomes of all remaining games are independent and each game is equally likely to be won by either participant. For each team, what is the probability that it will win the division title? If two teams tie for first place, they have a playoff game, which each team has an equal chance of winning.
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