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The San Francisco football team plays better in fair weather. They have a 70% chance of winning in good weather, but only a 20% chance

The San Francisco football team plays better in fair weather. They have a 70% chance of winning in good weather, but only a 20% chance of winning in bad weather.

a) if they play in the Super Bowl in Wisconsin and the weatherman predicts a 60% chance of snow that day, what is the probability that San Francisco will win?

b) Given that San Francisco lost, what is the probability that the weather was bad?

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