Question

    A word consists of 9 letters 5 consonants and 4 vowels.

    Three letters are chosen at random. What is the probability that more than one vowel will be selected.
    A 37/42 Correct Answer Incorrect Answer
    B 23/42 Correct Answer Incorrect Answer
    C 11/42 Correct Answer Incorrect Answer
    D 13/47 Correct Answer Incorrect Answer

    Solution

    Probability that more than one vowel. =1-P (no vowel) =1- 5C3/9C3 =1-(5×4×3)/9×8×7 =1-5/42 =37/42

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