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Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?


  • Options
  • A. 51/1221
  • B. 42/221
  • C. 1/221
  • D. 52/1245

  • Correct Answer
  • 1/221 

    Explanation

    Total Combination of getting a card from 52 cards =  C 1 52

    Because there is no replacement, so number of cards after getting first card= 51

    Now, Combination of getting an another card=  C 1 51


    Total combination of getting 2 cards from 52 cards without replacement= ( C 1 52 × C 1 51


    There are total 4 Ace in stack. Combination of getting 1 Ace is =  C 1 4

     

    Because there is no replacement, So number of cards after getting first Ace = 3


    Combination of getting an another Ace =  C 1 3

    Total Combination of getting 2 Ace without replacement= C 1 4 × C 1 3

    Now,Probability of getting 2 cards which are Ace = C 1 4 × C 1 3 C 1 52 × C 1 51  = 1/221.

  • Tags: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst

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