Your favorite team is in the final playoffs. You have assigned a probability of 60% that it will win

Your favorite team is in the final playoffs. You have
assigned a probability of 60% that it will win the championship. Past records
indicate that when teams win the championship, they win the first game of the
series 70% of the time. When they lose the series, they win the first game 25%
of the time. The first game is over; your team has lost. What isthe
probability that it will win the series?

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