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Sic bo is a casino dice game. The random process is the same with chuck-a-luck, that is, the game is based on the roll of three (balanced) dice, but there are more betting options in sic bo. Consider the specific doubles bet under which the player wins if a specific number appears on at least two of the three dice. The payout is 11 to 1. Suppose you place an $1 specific doubles bet on number 6. Compute the expected profit for this bet. How should the payout of the specific doubles bet be changed such that the bet becomes fair?

Sagot :