Banking Sample Paper IBPS PO (Main) Sample Test Paper-2

  • question_answer
    In a pack of 52 playing cards, if two cards are drawn without replacement then what is the probability that both cards drawn are face cards?

    A)  \[\frac{11}{221}\]

    B)  \[\frac{12}{221}\]

    C)  \[\frac{16}{169}\]

    D)  \[\frac{14}{169}\]

    E)  \[\frac{13}{222}\]

    Correct Answer: A

    Solution :

    Total number of cards = 52 Face cards =12 Then, \[\frac{12}{52}\times \frac{11}{51}=\frac{11}{221}\] Another Method: Reqd prob\[=\frac{{}^{12}{{C}_{2}}}{{}^{52}{{C}_{2}}}=\frac{11}{221}\]


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