A circuit has three maor components: A, B and C. Component A operates independently of B and C. The components B and C are interdependent. It is known that component A workd properly 85% of the time; component B, 90% of the time; and component C, 95% of the time. However, if components C fails, there is a 75% chance that B will also fail. Assume that at keast two parts must operate for the circuit to function. What is the probability that the circuit will function properly?

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02-07-2024
Mathematics

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A circuit has three maor components: A, B and C. Component A operates independently of B and C. The components B and C are interdependent. It is known that component A workd properly 85% of the time; component B, 90% of the time; and component C, 95% of the time. However, if components C fails, there is a 75% chance that B will also fail. Assume that at keast two parts must operate for the circuit to function. What is the probability that the circuit will function properly?

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