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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

User Jvz
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1 Answer

4 votes

Answer:

For a fair distribution that means there needs to be an equal amount of money to win or lose.

Therefore answer is -$12.

Explanation:

In a game, a die is thrown and has the following probability distribution. The game-example-1
User Jesse Hattabaugh
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