Question: Three marbles are drawn without replacement from a bag containing three white, three red, and five green marbles. $1 is won for each red selected

Three marbles are drawn without replacement from a bag containing three white, three red, and five green marbles. $1 is won for each red selected and $1 is lost for each white selected. No payoff is associated with the green marbles. Let X denote the net winnings from the game. Find the probability distribution function for X.

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