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Direction: Study the given information carefully and answer the questions that follow.
A basket contains 4 red, 5 blue and 3 green marbles

  1. If three marbles are picked at random, what is the probability that at least one is blue ?
    1. 7/12
    2. 37/44
    3. 5/12
    4. 7/44
    5. None of the above
Correct Option: B

Total number of possible outcomes
= 12C3 = 220
Number of events which do not contain blue marbles (3 marbles out of 7 marbles) = 7C3 = 35
∴ Required probability = 1 - 35/220 = 37/44



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