AP EAMCET · Maths · Probability
Two cards are drawn at random from a pack of 52 playing cards. If both the cards drawn are found to be black in colour, then the probability that atleast one of them is a face card is
- A \(\frac{3}{13}\)
- B \(\frac{3}{5}\)
- C \(\frac{9}{65}\)
- D \(\frac{27}{65}\)
Answer & Solution
Correct Answer
(D) \(\frac{27}{65}\)
Step-by-step Solution
Detailed explanation
Total ways to choose 2 black cards: \( \binom{26}{2} = \frac{26 \times 25}{2} = 325 \). Ways to choose 2 black non-face cards (20 available): \( \binom{20}{2} = \frac{20 \times 19}{2} = 190 \). Ways to choose at least one black face card: \( 325 - 190 = 135 \). Probability:…
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