Question

From a pack of 52 cards, two cards are drawn at random. What is the probability that both are Kings?

• A. $\frac{1}{15}$
• B. $\frac{25}{57}$
• C. $\frac{1}{221}$
• D. $\frac{1}{13}$

Hint:

For card problems without replacement, always use combinations.

Answer 1

The Correct Option is C

Step 1: Total ways to choose 2 cards.
\[ {}^{52}C_2 = 1326 \]
Step 2: Favorable outcomes.
There are 4 Kings in the deck.
\[ {}^{4}C_2 = 6 \]
Step 3: Calculate probability.
\[ P = \frac{6}{1326} = \frac{1}{221} \]