Actuarial Notes

SOA Exam P Sample Question 490

Study guide: Exam P-1

A person mails four packages. Two are fragile and two are not.

Each fragile package has probability 0.2 of breaking; each non-fragile package has probability 0.1 of breaking. The occurrences of packages breaking are mutually independent.

Exactly two packages break.

Calculate the probability that both broken packages were fragile.

  • A) 0.032
  • B) 0.040
  • C) 0.167
  • D) 0.336
  • E) 0.609

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