Single card from a well-shuffled deck: What is the probability of drawing a queen of clubs or a king of hearts?

Introduction / Context:We consider two specific distinct cards in a standard deck. The probability of drawing one of them is the count of favorable cards divided by 52.

Given Data / Assumptions:Two distinct favorable cards: Q♣ and K♥; deck size = 52; uniform randomness.

Concept / Approach:Since the events are disjoint singletons, add their probabilities.

Step-by-Step Solution:

Verification / Alternative check:Counting directly: 2 favorable outcomes out of 52.

Why Other Options Are Wrong:1/52 counts only one; 1/13 treats a whole rank or suit; 1/39 mixes numerator/denominator incorrectly.

Common Pitfalls:Accidentally assuming overlap; these are different cards.

Final Answer:1/26