Q76 / 160 · TS EAMCET 2022 (20 Jul Shift 2) · Mathematics

The probability of getting a king and a spade card when two cards are drawn simultaneously from a pack of 52 playing cards is

  • Correct answer
    A
    $\frac{1}{26}$
  • B
    $\frac{8}{221}$
  • C
    $\frac{2}{51}$
  • D
    $\frac{1}{52}$

Solution

$\mathrm{P}[$ king and spade card $]=\mathrm{P}[\mathrm{king}] \times \mathrm{P}[$ spade card $]$ $\Rightarrow \mathrm{P}[$ king and spade card $]=\frac{4}{52} \times \frac{13}{26}=\frac{1}{26}$

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

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