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Consider the Following Game

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Consider the following game.You choose a number from 1 to 6 and pay $1 to roll three dice.If your number is rolled on any of the dice,you get your dollar back and one dollar for each of the times your number came up.For instance,if your number comes up on two of the three dice,than you get a total of three dollars back.On average,how much would you expect to win at this game?

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Probability distribution for X,number of...

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