A fair coin is tossed until a "head" appears. If "heads" appears on the first toss, you receive $1. If a "heads" first appears on the the second toss you win $2; if "heads" first appears on the third toss, you win $4. If "heads" first appears on the nth toss, you win $2^(n - 1). So if n = 5, the reward is $16 for that game.

So to repeat the question, if you had the choice, would you prefer to receive the winning of a single game or the average winning of a trillion games? Thanks in advance for your response!

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