How much would you expect to win or lose if you play game

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You pay 6 dollars to play a game as follow: You (1) flip a fair coin, (2) throw a die and (3) randomly select two balls from a bowl which contains four red balls, three blue balls and two green balls. If you flip a head, you win 2 dollars. If you win 2 dollars and then throw a 1 on the die, you win an extra 36 dollars. If you win 36 dollars and then select two balls of the same color, you win an extra 108 dollars. How much would you expect to win or lose if you play the game?

Reference no: EM132399213

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