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