Subject

    Quantitative Aptitude

    Topic

    Probability

    A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

    ক)
    13/42
    খ)
    17/42
    গ)
    5/42
    ঘ)
    3/14

    Explanation

    3 letters can be choosen out of 9 letters in 9C39C_3 ways. More than one vowels ( 2 vowels + 1 consonant  or  3 vowels ) can be choosen in (4C2×5C1)+4C3(4C_2\times5C_1)+4C_3 ways Hence,required probability = (4C2×5C1)+4C39C3\frac{\left(4C_2\times5C_1\right)+4C_3}{9C_3} = 17/42

    Find Tutors

    View all Tutors