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In a game, a player had to pick up 2 cards without replacement, from a box containing 6 red cards and 4 blue cards. For

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In a game, a player had to pick up 2 cards without replacement, from a box containing 6 red cards and 4 blue cards. For every blue card he will be paid $5 and for every red card he will be paid $1. He has to pay $3 to play the game. Let Y = net payment he received a) List the outcomes of selection of the 2 cards in a tree diagram. (4m) b) Tabulate the probability distribution of Y. (3m) 0) Calculate the expected net win/loss to the player. (3m)

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