From a standard 52-card deck, what is the probability of drawing either the queen of clubs or the king of hearts?

Introduction / Context:
We calculate the probability of drawing one of two distinct, non-overlapping single cards from a standard deck: the queen of clubs (unique) or the king of hearts (unique).

Given Data / Assumptions:

• Standard deck: 52 cards, 4 suits, 13 ranks per suit.
• Queen of clubs (1 card) and king of hearts (1 card) are distinct events.

Concept / Approach:
Since the two favourable outcomes cannot occur simultaneously on a single draw, add their probabilities: 1/52 + 1/52.

Step-by-Step Solution:
P(Q♣) = 1/52.P(K♥) = 1/52.P(Q♣ or K♥) = 1/52 + 1/52 = 2/52 = 1/26.

Verification / Alternative check:
Counting favourable cards directly: 2 out of 52 → 2/52 → 1/26.

Why Other Options Are Wrong:
1/52 counts only one specific card; 1/13 equals probability of any one rank in a suit or any one suit for a rank, not this combined two-card event.

Common Pitfalls:
Accidentally counting extra queens or kings; here only the specified two single cards are favourable.

Final Answer:
1/26