JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Seven chits are numbered 1 to 7. Three are drawn one by one with replacement. The probability that the least number on any selected chit is 5, is     [EAMCET 1991]

    A)                 \[1-{{\left( \frac{2}{7} \right)}^{4}}\]             

    B)                 \[4\,{{\left( \frac{2}{7} \right)}^{4}}\]

    C)                 \[{{\left( \frac{3}{7} \right)}^{3}}\] 

    D)                 None of these

    Correct Answer: C

    Solution :

               \[P(5\,\text{or}\,6\,\text{or}7)\] in one draw \[=\frac{3}{7}\]                 \[\therefore \] Probability that in each of 3 draws, the chits bear 5 or 6 or \[7={{\left( \frac{3}{7} \right)}^{3}}.\]


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