In a game, a die is thrown and has the following probability distribution. The game is free to play. The payoff for some of the values was randomly generated: Outcome 1 2 3 4 5 6 Probability 1 6 1 6 1 6 1 6 1 6 1 6 Payoff $3 $5 - $10 $11 $3? What would the payoff of the outcome of 6 have to be for this to be a fair distribution? (Hint: expected value = $0
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