Actuarial Notes

SOA Exam P Sample Question 487

Study guide: Exam P-1

A group of students will take Exam 1. Those who pass Exam 1 will take Exam 2. Those who also pass Exam 2 will take Exam 3. For the initial group, the probability of passing Exam 1 is 0.80, the probability of passing Exams 1 and 2 is 0.48, and the probability of passing Exams 1, 2, and 3 is 0.36. A student who fails an exam stops taking exams.

Calculate the probability that a student of this group passes Exam 2, given that the student does not pass all three exams.

  • A) 0.12
  • B) 0.19
  • C) 0.25
  • D) 0.64
  • E) 0.75

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