BCECE Engineering BCECE Engineering Solved Paper-2013

  • question_answer
    Two cards are drawn at random from a pack of 52 cards. The probability of getting at least a spade and an ace, is

    A)  \[\frac{1}{34}\]               

    B)        \[\frac{8}{221}\]                              

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

    D)         \[\frac{2}{51}\]

    Correct Answer: C

    Solution :

    Total number of cases, \[n(s)=55{{C}_{2}}\] \[n(E)=\]The number of selection of 1 spade, 1 ace from 3 aces or selections of the ace of spade and 1 other spade. \[13{{C}_{1}}\times 13{{C}_{1}}+12{{C}_{1}}\times 11{{C}_{1}}=51\] \[\therefore \]\[P(E)=\frac{51}{51{{C}_{2}}}=\frac{1}{26}\]


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