JEE Main & Advanced Sample Paper JEE Main Sample Paper-16

  • question_answer
    Three numbers are chosen at random from the set of first 20 natural numbers, then the probability that their product is a multiple of 3 is

    A) \[\frac{194}{285}\]                                         

    B) \[\frac{1}{57}\]

    C) \[\frac{13}{19}\]                                              

    D) \[\frac{3}{4}\]

    Correct Answer: A

    Solution :

    Total possible way\[n(S){{=}^{20}}{{C}_{3}}\] Let consider product is not a multiple of 3 then possible number of ways \[{{=}^{14}}{{C}_{3}}\]Hence, required probability\[=1\frac{^{14}{{C}_{3}}}{^{20}{{C}_{3}}}\] \[=1-\frac{91}{285}=\frac{194}{285}\]


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