JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-I

  • question_answer
    The probability of choosing at random a number that is divisible by 6 or 8 from among 1 to 90 is equal to:

    A) \[\frac{1}{6}\]

    B) \[\frac{1}{30}\]

    C) \[\frac{11}{80}\]

    D) \[\frac{23}{90}\]

    Correct Answer: D

    Solution :

    [d] Nos. divisible by 6 are \[6,12,18...90.\] Nos. divisible by 8 are \[8,16,24...88.\] Now, total no. divisible by \[6=15\] And total no. divisible by \[8=11\] Now, the no. divisible by both 6 and 8 are 24, 48, 72. So, that no. divisibly by both 6 and \[8=3\] \[\therefore \] Probability (number divisible by 6 or 8) \[=\frac{15+11-3}{90}=\frac{23}{90}\]


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