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Suppose a game is to be played with a single die assumed fair. In this game a player wins R20 if a 2 turns up,

Suppose a game is to be played with a single die assumed fair. In this game a player wins R20 if a 2 turns up, R40 if a 4 turns up, loses R30 if a 6 turns up; while the player neither wins nor loses if any other face turns up. Find the expected sum of money to be won.

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