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📐 Mathematics  ·  Probability  ·  JEE

If events A and B are exhaustive, then:

Answer: P(A ∪ B) = 1.

  • A P(A ∩ B) = 1
  • B P(A ∪ B) = 1
  • C P(A) = P(B)
  • D A and B are independent

Correct answer: B. P(A ∪ B) = 1

Explanation: Exhaustive events: A and B together cover the entire sample space. P(A ∪ B) = 1.

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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