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Suppose a lottery has 100 tickets labeled #1, #2, .., #100. One ticket will be selected as the winner. Sai's personal probability for each ticket

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Suppose a lottery has 100 tickets labeled #1, #2, .., #100. One ticket will be selected as the winner. Sai's personal probability for each ticket winning is the same: 1/100. Sai also thinks a higher numbered ticket is slightly more likely to win: her personal probability that the winning ticket will be one of #51-#100 is 51/100. Her personal probability that the winning ticket will be one of #1-#50 is 49/100. Is it possible to make a Dutch book against Sai? If yes, explain how: specify what the bets are, and which ones Sai will buy and which she will sell. If no, explain why not: specify which rules of probability are relevant, and how Sai is obeying them

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