TS EAMCET · Maths · Probability
If 2 cards drawn at random from a well shuffled pack of 52 playing cards are from the same suit, then the probability of getting a face card and a card having a prime number is
- A \(\frac{8}{13}\)
- B \(\frac{2}{13}\)
- C \(\frac{8}{221}\)
- D \(\frac{32}{221}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{13}\)
Step-by-step Solution
Detailed explanation
Prime numbers among same suit are \(2,3,5,7\) Their number \(=4 ;\) No. of face cards \(=3\) Total no. of cases \(=13 \times 12\) Favourable cases \(=4 \times 3+3 \times 4=24\) Required probability \(=\frac{24}{13 \times 12}=\frac{2}{13}\).
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