7 Carl bets one dollar to play a game of 3 dice. If he rolls ”6” on one, two or three dice, then he takes the dollar back and win as many dollars as the number of dice which rolled ”6” (meaning 3 dollars max). If no die rolls a ”6”, Carl loses his bet. How much money is Carl expected to win if he continues playing this game numerous times? How much does Carl need to bet so in the long run he loses nothing and gains nothing

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