A player pays $8 to play a game. A bag contains 3 red balls and 2 blue balls. A ball is drawn from the bag. If a red ball is drawn, the game is lost. If a blue ball is drawn, a standard 6-sided die is rolled. In this case the player wins if the die roll is a multiple of 3 and loses otherwise. How much should the player win if the game is fair? (In a fair game the probability of winning times the amount won is what the player should pay.)
30
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75