JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is                                 [EAMCET 1989]

    A)                 \[\frac{1}{5}\]       

    B)                 \[\frac{2}{5}\]

    C)                 \[\frac{1}{10}\]    

    D)                 None of these

    Correct Answer: C

    Solution :

               Total number of ways \[={}^{100}{{C}_{1}}=100\]            Favourable numbers are \[{{1}^{2}},\,{{2}^{2}},\,{{......10}^{2}}.\]            Therefore, favourable ways =10.                 \[\therefore \] Probability \[=\frac{10}{100}=\frac{1}{10}.\]


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