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You throw a four sided symmetric die, if X denotes the number you get on top...

You throw a four sided symmetric die, if X denotes the number you get on top you receive 2X dollars. However, to play this game you need to pay 4 dollars to begin with. Let Y denote your win in one throw. Find E(Y) in two different ways. i.e. using the probability distribution function of Y and using E(X)

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