imo class 12 probability

For two events A and B, P(A'|B') is equal to:

VAVidaara Admin Asked 8d ago 0 views 0 answers

For two events A and B, P(A'|B') is equal to:

  • A. (1 − P(A∪B)) / P(B')
  • B. 1 − P(A|B)
  • C. P(A'∩B') / P(A')
  • D. P(A∪B) / P(B')

Answer: A) (1 − P(A∪B)) / P(B')

Explanation: By De Morgan's Law, P(A'∩B') = P((A∪B)') = 1 − P(A∪B). Therefore, P(A'|B') = P(A'∩B') / P(B') = (1 − P(A∪B)) / P(B').

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