JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • 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                 [Pb. CET 2002]

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

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

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

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

    Correct Answer: D

    Solution :

               We have, the number of divisible by 6 in the series form 1 to 90 is 15.                    \[\therefore \] Number divisible by 8 in the series from 1 to 90 is  equal to 11 and the number divisible by both 6 and 8 in series from  1 to 90 = 3.                                 \[\therefore \] Probability of choosing the number divisible by 6 or 8 is \[P=\frac{15+11-3}{90}\] or \[P=\frac{23}{90}\].


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