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TS EAMCET · Maths · Probability

Two cards are drawn randomly from a pack of 52 playing cards one after the other with replacement. If \(A\) is the event of drawing a face card in first draw and \(B\) is the event of drawing a clubs card in second draw, then \(\mathrm{P}\left(\frac{\overline{\mathrm{B}}}{\mathrm{A}}\right)=\)

  1. A \(\frac{11}{12}\)
  2. B \(\frac{12}{13}\)
  3. C \(\frac{3}{4}\)
  4. D \(\frac{1}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{3}{4}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{P}\left(\frac{\overline{\mathrm{B}}}{\mathrm{A}}\right) = \mathrm{P}(\overline{\mathrm{B}})\) (draws are with replacement) \(\mathrm{P}(\mathrm{B}) = \frac{13}{52} = \frac{1}{4}\)…