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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
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:
  1. $\frac{1}{13}\times\frac{1}{13}$
  2. $\frac{1}{13}\times\frac{1}{13}$
  3. $\frac{1}{13}\times\frac{1}{17}$
  4. $\frac{1}{13}\times\frac{4}{15}$
✓

Answer

  1. $\frac{1}{13}\times\frac{13}{13}$

Solution:

Required probability $=\frac{4}{52}\cdot\frac{4}{52}$

$=\frac{1}{13}\times\frac{1}{13}$ [with replacement]

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