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The d20 itself can be used to ensure fairness on this - simply put, the GM chooses 1, 2, or 3. She then positions the d20, while shielding it, so that it shows the chosen number. The player then announces their number (1, 2, or 3), and the GM reveals the d20 value. Add them together, and subtract 3 if the value is above 3.
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