. Parts that are connected in a particular system do not fail independently of one another. Specifically, two interconnected parts, A and B, fail in the following pattern. On any given day there is a 20% chance that B will fail, while if A fails, there is a 70% chance that B will fail. The probability that both parts fail on the same day is 0.07. On any given day what is the most likely number of parts to fail? On any given day what is the expected number (i.e. the mean number) of failed parts?