A card is drawn at random from a well-shuffled deck of $52$ playing cards. What is the probability of getting a face card of black colour?

Step-by-step solution

1. Identify the total number of possible outcomes: a standard deck has $52$ playing cards, so $n(S)=52$.
2. Identify the favorable outcomes: face cards are Kings, Queens, and Jacks. There are $2$ black suits (Spades and Clubs), so the total number of black face cards is $3\times 2=6$.
3. Calculate the probability using $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{52}=\frac{3}{26}$.

Concept tested: Probability of drawing specific cards

Published 24 August 2026 · How this solution was prepared and checked

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