Q76 / 160 · AP EAMCET 2022 (08 Jul Shift 1) · Mathematics

One card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is a face card (Jack, Queen and King only) is

  • A
    $1 / 13$
  • Correct answer
    B
    $3 / 13$
  • C
    $1 / 4$
  • D
    $9 / 52$

Solution

Figure $\begin{aligned} & =\mathrm{P}[\text { Jack }]+\mathrm{P}[\text { Queen }]+\mathrm{P}[\text { King }] \\ & =\frac{4}{52}+\frac{4}{52}+\frac{4}{52}=\frac{12}{52}=\frac{3}{13}\end{aligned}$

Hence, the correct answer is option: 'B'.

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