How much to win or lose if one heads appear for game to fair


The coin is tossed 3 times. Assume you lose $3 if 3 heads appear, lose $2 if 2 heads appear, and win $3 if 0 heads appear. How much must you win or lose if one heads appears for game to be fair.

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Mathematics: How much to win or lose if one heads appear for game to fair
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