JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of heart                                             [UPSEAT 2002]

    A)                 \[\frac{1}{25}\]    

    B)                 \[\frac{1}{26}\]

    C)                 \[\frac{1}{52}\]    

    D)   None of these

    Correct Answer: B

    Solution :

               There are two conditions.            (i) When first is an ace of heart and second one is non-ace of heart \[=\frac{1}{52}\times \frac{51}{52}\,\Rightarrow \frac{1}{52}\]            (ii) When first is non-ace of heart and second one is an ace of heart \[=\frac{51}{52}\times \frac{1}{51}=\frac{1}{52}\]                                 \ Required probability \[=\frac{1}{52}+\frac{1}{52}=\frac{1}{26}.\]


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