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Q: 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 ?

  • 1
    51/1221
  • 2
    42/221
  • 3
    1/221
  • 4
    52/1245
  • Show Answer
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Answer : 3. "1/221"
Explanation :

Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151)  There are total 4 Ace in stack. Combination of getting 1 Ace is = C14   Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

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