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Question: Answered & Verified by Expert
Two cards are drawn at random from a pack of \( 52 \) cards. The probability of these two being
'Aces" is
MathematicsProbabilityKCETKCET 2016
Options:
  • A \( \frac{1}{26} \)
  • B \( \frac{1}{221} \)
  • C \( \frac{1}{2} \)
  • D \( \frac{1}{13} \)
Solution:
1980 Upvotes Verified Answer
The correct answer is: \( \frac{1}{221} \)
Total number of Aces in a pack is \( 4 . \)
So, required probability is
\( P(2 \) aces \( )=\frac{{ }^{4} C_{2}}{{ }^{52} C_{2}} \) \( =\frac{4 \times 3}{52 \times 51}=\frac{1}{221} \)

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