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Conditional Probability & Bayes' Theorem · Question 38 of 125

Question 38

MediumOriginal question

Three cards are drawn one after the other, without replacement, from a pack of 52. What is the probability that all three are aces?

Options for question 38

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 452×351×250\frac{4}{52} \times \frac{3}{51} \times \frac{2}{50}, each draw leaving one ace and one card fewer.

  2. =24132600=15525= \frac{24}{132600} = \frac{1}{5525}.

Worth noting

12197=(113)3\frac{1}{2197} = \left(\frac{1}{13}\right)^{3} replaces each card before the next draw.

Concept
Probabilities without replacement
Typical time
90 s
Your time
—
The rule this testsThe multiplication theorem
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Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.