From a standard deck of 52 cards, two cards are drawn together at random. What is the probability that both are kings?

Given data

• Total cards = 52, Kings = 4.
• Draw two cards together without replacement.

Concept/ApproachProbability = C(4, 2) ÷ C(52, 2).

Step-by-Step calculation C(4, 2) = 6 C(52, 2) = 52 × 51 ÷ 2 = 1326 P = 6 ÷ 1326 = 1 ÷ 221

Verification/AlternativeSequential view: (4÷52) × (3÷51) = 12÷2652 = 1÷221.

Common pitfalls

• Treating as with replacement (which would give 4÷52 × 4÷52).

Final Answer1/221