Problem-Solving and Data AnalysisMediumProbability of two aces from a small deck
Problem-Solving and Data Analysis practice question
A deck of 20 cards contains 4 aces. Two cards are drawn at random without replacement. What is the probability that both are aces?
Answer: 3/95
4/20 × 3/19 = 12/380 = 3/95.
Common wrong answers
- If you answered 1/25
- 1/25 treats the draws as with replacement.
- If you answered 1/5
- 1/5 is the probability of one ace.
- If you answered 2/5
- 2/5 adds the two single-draw probabilities.
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