Our apartment building has 2 water pumps to supply it.They are both old, though, so they have a 3% chance to fail every day.If one fails, then the other one can supply the whole building, but it works harder, so it has a 10% chance to fail.

What is the Probability of our building losing water today?[Hint: Let A = "First pump fails", B = "Second pump fails", and then we need to find P(AB).]