ISRO Computer Science (CSE) 2013 - Question 69

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If a program P calls two subprograms P1 and P2 and P1 can fail 50% of the time and P2 can fail 40% of the time, what is the failure rate of program P?

  • A. 50%
  • B. 60%
  • C. 70%
  • D. 10%

Answer: C. 70%

Explanation: P fails if P1 fails OR P2 fails. P(Fail) = P(F1 u F2) = P(F1) + P(F2) - P(F1 n F2) = 0.5 + 0.4 - (0.5*0.4) = 0.9 - 0.2 = 0.7 = 70%.

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