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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
MCQ
Choose the correct answer from the given four options.Two cards are drawn from a well shuffled deck of $52$ playing cards with replacement. The probability, that both cards are queens, is:
  • ✓
    $\frac{1}{13}\times\frac{1}{13}$
  • B
    $\frac{1}{13}\times\frac{1}{13}$
  • C
    $\frac{1}{13}\times\frac{1}{17}$
  • D
    $\frac{1}{13}\times\frac{4}{15}$
✓

Answer

Correct option: A.
$\frac{1}{13}\times\frac{1}{13}$
Required probability $=\frac{4}{52}\cdot\frac{4}{52}$
$=\frac{1}{13}\times\frac{1}{13} [$with replacement$]$

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