Actuarial Notes

SOA Exam P Sample Question 422

Study guide: Exam P-1

Events A and B are mutually exclusive, and at least one of A or B is certain to occur. Events C and D are mutually exclusive, and at least one of C or D is certain to occur.

The following probabilities are known:

i) P[A] = 0.75 ii) P[D] = 0.20 iii) P[A \cap C] = 0.55

Calculate P[B \cap D].

  • A) 0.00
  • B) 0.05
  • C) 0.20
  • D) 0.25
  • E) 0.45

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