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Direction: Study the given information carefully and answer the question that follow.
An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.

  1. If two marbles are picked at random, what is the probability that both marbles are red ?
    1. 1/6
    2. 1/3
    3. 2/15
    4. None of the above
Correct Option: D

Total number of marbles = 6 + 4 + 2 + 3 = 15
Ways of selection of two red marbles = n(E) = 6C2
Ways of selection of two marbles = n(S) = 15C2
So, required probability = (6C2) / (15C2)
= (6 x 5) / (15 x 14) = 1/7



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