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      Question

      A box contains 5 white, 6 green, 3 red, and 5 yellow

      marbles. If three marbles are chosen randomly, what is the probability that all three selected marbles are green?
      A 20/969 Correct Answer Incorrect Answer
      B 10/969 Correct Answer Incorrect Answer
      C 10/323 Correct Answer Incorrect Answer
      D 20/323 Correct Answer Incorrect Answer
      E None Correct Answer Incorrect Answer

      Solution

      Total number of marbles = 5 + 6 + 3 + 5 = 19 Total number of outcomes = C (n, r) = C (19,3)  = 969 number of favorable outcomes = C (6,3)  = 20 ∴ Required probability = 20/969

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