1) A product is made up of two subsystems in series.
1) A product is made up of two subsystems in series. The first
subsystem consists of 50 components in series. The second subsystem consists of 2 components in parallel. The components in subsystem 1 are all of the same design and each has a 1/10,000 chance of failure. The parallel components each has a 8/1000 chance for failure. What is the overall reliability of the system?
I was given the answer but was wondering why = 1-(50*1/10,000 + 2*1/10,000) and not = 1-(50*1/10,000 + 2*8/1000)?