A system is composed of 6 components (A, B, C, D, E, F), each of which is either working or failed. The probability that a component is working is 0.54. Suppose the system will work if components A and B are both working, or if components E and F are both working. Find the probability that the system is working.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A system is composed of 6 components (A, B, C, D, E, F), each of which is either working or failed. The probability that a component is working is 0.54. Suppose the system will work if components A and B are both working, or if components E and F are both working. Find the probability that the system is working.

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