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Suppose a gumball machine contains 45 pieces of gum --- 10 purple, 10 green, 15 blue, 5 red, and 5 yellow.The machine dispenses one piece

  1. Suppose a gumball machine contains 45 pieces of gum --- 10 purple, 10 green, 15 blue, 5 red, and 5 yellow.The machine dispenses one piece at a time at random, and all gumballs are identical except for color (and flavor!)You decide to buy 4 pieces of gum and are interested in X = Number of Green Gumballs.What is the probability that you will get no green gumballs in your 4 pieces?

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