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4. (4pts) In a game of Chuck-aLuck, a player bets $6 on a number 1 to 6. Three dice are rolled, and the player wins

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4. (4pts) In a game of Chuck-aLuck, a player bets $6 on a number 1 to 6. Three dice are rolled, and the player wins $1 if the number appears on 1 die, $2 if it appears on 2 dice, and $3 dollars if it appears on three dice. The chances of 1 die showing the number are 75,1216, the chances of 2 dice showing it are 15,916, and the chances of 3 dice showing it are \"216 (leaving a 125.916 chance that no dice show it). Find a value I so this game is \"fair\" (that is, the amount a player would pay and EXPECT to break even)

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