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Geoff is running a carnival game. He has 16 marbles in a bag: there are 4 green marbles, 7 red marbles and 5 yellow marbles.

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Geoff is running a carnival game. He has 16 marbles in a bag: there are 4 green marbles, 7 red marbles and 5 yellow marbles. To play a round of the game, a player randomly takes out 2 marbles (without replacement) from the bag. Green marbles win 5 points, red marbles win 1 point and yellow marbles lose 2 points. Let X be the random variable that describes the number of points won by a player playing a single round of Geoff's marble game. Find the probability distribution for X. Give values for X as whole numbers and probabilities as decimal values to 3 decimal places. Enter the values for X in ascending order (lowest to highest) from left to right in the table

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