Question

One card is drawn from a well-shuffled pack of 52 cards. The probability of getting a face card is:

• A. $\frac{1}{52}$
• B. $\frac{1}{13}$
• C. $\frac{3}{13}$
• D. $\frac{1}{4}$

Hint:

In a standard deck, there are 12 face cards (J, Q, K of each suit).

Answer 1

The Correct Option is C

Step 1: Total cards = 52.

Step 2: Face cards in a deck.
Each suit (hearts, spades, clubs, diamonds) has 3 face cards (Jack, Queen, King). Total = \( 4 \times 3 = 12 \).
Step 3: Probability formula.
\[ P(\text{face card}) = \frac{12}{52} = \frac{3}{13} \]
Step 4: Conclusion.
The probability of drawing a face card is \( \frac{3}{13} \).