Fair Prize for Five Descending Cards
A deck holds 97 cards numbered 1 to 97. You draw five without replacement. If the five numbers come out in strictly descending order you are paid dollars; otherwise you pay 1 dollar.
Your friend runs the same game with a 63-card deck and insists the fair prize there must be smaller, because the deck is smaller.
What prize makes the 97-card game fair, that is, gives it expected value zero?
Answer format: enter an integer.
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