Ask Question
26 October, 10:41

A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?

A. 3

B. 0.03

C. 0.0003

D. None of the choices are correct

+3
Answers (2)
  1. 26 October, 11:58
    0
    The systems are independent and function independently. The joint probability in question is 0.01*0.03 = 0.0003.
  2. 26 October, 14:08
    0
    Each system is independent of one another, so you multiply the probabilities of failure for each

    P (A and B) = P (A) * P (B)

    P (A and B) = 0.01*0.03

    P (A and B) = 0.0003

    Answer: Choice C
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers