Two cards are drawn together at random from a 52-card deck. What is the probability that both cards are kings?

Introduction / Context:We draw two cards without replacement. The number of ways to choose two kings from four over the number of ways to choose any two cards yields the probability.

Given Data / Assumptions:

• Deck: 52 cards; kings: 4.
• Draw two cards simultaneously (order irrelevant).

Concept / Approach:Use combinations: favorable = C(4,2); total = C(52,2). The ratio simplifies to a neat reduced fraction.

Step-by-Step Solution:

Verification / Alternative check:Sequential multiplication: P(first king) = 4/52, P(second king | first king) = 3/51 ⇒ product = 12/2652 = 1/221. Same value.

Why Other Options Are Wrong:1/15, 25/57, 35/256 arise from incorrect denominators or mixing with replacement.

Common Pitfalls:Forgetting that order does not matter in combinations, or not reducing the fraction fully.

Final Answer:1/221