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Question: Answered & Verified by Expert
The probability of getting a king and a spade card when
two cards are drawn simultaneously from a pack of 52
playing cards is
MathematicsProbabilityTS EAMCETTS EAMCET 2022 (20 Jul Shift 2)
Options:
  • A $\frac{1}{26}$
  • B $\frac{8}{221}$
  • C $\frac{2}{51}$
  • D $\frac{1}{52}$
Solution:
1864 Upvotes Verified Answer
The correct answer is: $\frac{1}{26}$
$\mathrm{P}[$ king and spade card $]=\mathrm{P}[\mathrm{king}] \times \mathrm{P}[$ spade card $]$
$\Rightarrow \mathrm{P}[$ king and spade card $]=\frac{4}{52} \times \frac{13}{26}=\frac{1}{26}$

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