Actuarial Notes

SOA Exam P Sample Question 387

Study guide: Exam P-1

When a computer crashes, each of the data files 1, 2, \ldots, d has the same probability of being corrupted, independently of the other files. Given that a crash causes exactly two of the d files to be corrupted, the probability that neither of the two most recently created files are corrupted is \dfrac{40}{51}.

Calculate the probability that none of the three most recently created files are corrupted, given that a crash causes exactly two of the files to be corrupted.

  • A) 0.523
  • B) 0.676
  • C) 0.686
  • D) 0.695
  • E) 0.710

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