Two cards are drawn successively without replacement from a standard 52-card deck. What is the probability that both cards are aces?
Correct answer: B. 1/221
- A. 1/169
- B. 1/221
- C. 1/256
- D. 1/265
Explanation
There are 4 aces among 52 cards, so the probability of an ace first and another ace second is (4/52)(3/51) = 1/221. The denominator changes after the first card because the drawing is without replacement.
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Probability covers sample spaces, events, complements, mutually exclusive and independent events, conditional probability, addition and multiplication rules, and tree diagrams. Distributions describe discrete random variables through probability tables, expected value and variance, including binomial and normal models where their conditions and parameters must be identified.
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