Question

A production line is comprised of two machines: Machine A and Machine B such that the output from Machine A is used by machine B to make the finished product. On a typical day, Machine A breaks down with a probability of 30% and Machine B breaks down with the probability of 40%. What is the probability that the production line works properly on a typical day

Answer 1

42%

Explanation:

If the probability of the first machine breaking down is 30%, the probability of it operating normally is 100% - 30% = 70%

The probability of the second machine operating normally is 100% - 40% = 60%

So, the probability of both machines operating normally in one day is:

P = 70% * 60% = 0.7 * 0.6 = 0.42 = 42%