Two cards are drawn successively without replacement from a pack of 52 cards. What is the probability that both are aces?
Answer and explanation
Correct answer: C. 1 / 221
- Step 1: P(First ace) = 4 / 52 = 1 / 13.
- Step 2: P(Second ace | First ace) = 3 / 51 = 1 / 17.
- Step 3: P(Both aces) = (1 / 13) * (1 / 17) = 1 / 221.
Why not the others: The alternative choices (1 / 169, 1 / 26, 4 / 663) stem from algebraic sign mistakes, misapplying coordinate formulas, or intermediate arithmetic calculation slips.
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