Two pumps connected in parallel fail independently of one another on any given day.The probability that only the older pump will fail is .10 and the probability that only the newer pump will fail is.05.What is the probability that the pumping system will fail on any given day(which happens if both pump fails)..

I just thought it was easy.

P(O) = .10

P(N)=.05

so P(O intersection N) is .10*.05 since they're independent events = probability that the machine fails on any given day but it gives me the wong answer.