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4. Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you only win or lose). Your

4. Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you only win or lose). Your friend Aliciayour sole opponentlooks at her hand and sighs. You think that there is a 60% chance she sighs given you will win, and there is a 50% chance she sighs given that you will lose. Using our updating rule and the information given, what are the odds that you will win?

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