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📐 Mathematics  ·  Probability  ·  JEE

Three cards are drawn from 52 without replacement. P(all aces) =

Answer: 4/52 × 3/51 × 2/50.

  • A 1/5525, an incorrectly simplified probability
  • B 4/52, the probability for just the first card
  • C 3/52, the probability for just the second card
  • D 4/52 × 3/51 × 2/50

Correct answer: D. 4/52 × 3/51 × 2/50

Explanation: P(all 3 aces) = 4/52 × 3/51 × 2/50 = 24/132600 = 1/5525. Both A and D are correct expressions.

UABA and BA onlyB onlyOutside both circles: complement of (A union B)

Venn diagram of the universal set U with events A and B, showing the intersection (A and B), the parts unique to each event, and the complement region outside both.

Concept context

Chance, events, conditional probability, and Bayes theorem

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