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Many people would select Prize A the first time, and Prize B the second time.

In both cases, the prizes can be expressed this way:

Prize A Prize B
90% chance of winning Amount X
10% chance of winning $1 Million
90% chance of winning Amount X
9% chance of winning $10 Million
1% chance of winning nothing

Where in the first question Amount X was $1 Million, and in the second question Amount X was $0.

But amount X is the same for both Prize A and Prize B, and the chances of winning Amount X are the same in both cases.  So the value of Amount X cannot determine whether Prize A or Prize B is more attractive.

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