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Imagine a casino game where I roll a single dice. It costs nothing to enter this game. The payoff to participants is as follows: If

Imagine a casino game where I roll a single dice. It costs nothing to enter this game. The payoff to participants is as follows:

  • If the roll of the dice ends up on an even number (that is, 2, 4 or 6), the payoff is $5000.
  • If the roll of the dice ends up on an odd number (that is, 1, 3 or 5), the payoff is only $400.

Assume that this is a fair dice. In other words, there is an equal probability of the roll being a 1, 2, 3, 4, 5 or 6.

Obviously, participants in this game will get some kind of payoff. It is just uncertain how big the payoff will be it comes down to the roll of a dice.

Assume that you are a risk-neutral person, and were offered the opportunity to avoid playing this risky game and instead simply receive a fixed/certain payoff. What is the smallest amount of certain payoff you would be prepared to take to avoid playing this risky game?

Do not enter a dollar sign ($) in your answer.

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