4 4 pts In a game of ChuckaLuck a player bets x on a number

4. (4 pts) In a game of Chuck-a-Luck, a player bets $x 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 I die showing the number are 75/216, the chances of 2 dice showing it are 15/216, and the chances of 3 dice showing it are 1/216 (leaving a 125/216 chance that no dice show it). Find a value x so this game is fair(that is, the amount a player would pay and EXPECT to break even).

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