probability? system of components?

given that the components A and B are connected in series, and their probability to work is 0.7each, and then the combination A-B is parallel to another series components D, E, F whose probability to work properly is 0.8 each...

if the system works, what is the probability that component A is not working?

i cant figure out how to solve this.

i have solved the probability that the system works, it's 0.75112.

correct answer for the probability that A is not working given that the system works is 0.2045.

help?

thanks.

Comments

  • reqd. probability

    = P[A not working & circuit D-E-F working] / P[system working]

    = 0.3*(0.8)^3 / 0.75112

    = 0.2045

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