1. Suppose that you roll two fair 6-sided dice and the result is hidden from view. A is the event that the sum of the two dice is 7. B is the event that at least one of the two dice is showing a 5. Calculate the probabilities P(A) and P(B). Now suppose you are told that event B has occurred (at least one of the two dice is showing a 5.) Calculate the conditional probability P(A|B).