Answer: De Morgan law and complement rule.
- A Bayes theorem, which relates conditional probabilities
- B De Morgan law and complement rule
- C The multiplication rule for independent events
- D The total probability theorem across partitions
Correct answer: B. De Morgan law and complement rule
Explanation: De Morgan's law: (A ∪ B)' = A' ∩ B'. Apply complement rule: P(A ∪ B) = 1 − P((A ∪ B)') = 1 − P(A' ∩ B'). If A,B independent: P(A' ∩ B') = P(A')P(B') = (1−P(A))(1−P(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