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3. Sam thinks the Leafs have a real shot at the playoffs next year. In fact, she regards the following deal as fair: if the Leafs make the playoffs, you pay her $2, otherwise she pays you si0. Suppose Sam equates money with utility: for her, the utility of gaining s2 is 2, the utility of losing sio is -10, and so on 31 a. What is Sams personal probability that the Leafs will make the playoffs? Sam also thinks the Leafs might even have a shot at winning the Stanley Cup. Shes willing to pay you sı if they dont win the Cup if you agree to pay her s:2 b. What is Sams personal probability that the Leafs will win the Stanley c. What is Sams personal conditional probability that the Leafs will win if they do. Thats a fair deal, for her. Cup? the Stanley Cup if they make the playoffs? (Assume that winning the Stanley Cup logically entails making the playoffs.)

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