35.The Better of Two Ratios
★★★expected valueJane Street
Two fair six-sided dice A and B are rolled. You are then paid whichever of A divided by B, or B divided by A, is larger. What is the fair price of this game?
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The payout is always at least 1, and depends only on the unordered pair. Group the 36 outcomes by the larger-over-smaller ratio.
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