9. When we roll two dice, there are 36 possible outcomes (shown below). Since each outcome has the same probability of occurring, the probability of each is 1/36. Imagine rolling two dice and subtracting: the number on the black die minus the number on the white die. (a) Give a probability model for rolling two dice . . and subtracting the results. . :.: (b) What is the probability of getting a difference . that is negative or is zero? (c) What is the probability of getting a difference that is even or less than or equal to 2? 10. Lesley estimates that she has a 75% chance of passing Physics and an 80% chance of passing English . Assuming that { Passing English } and { Passing Physics} are independent events, (a) What is the probability that Lesley will pass Physics and fail English? (b) What is the probability that Lesley will only pass one of these subjects? Hint: She either passes English and fails Physics or passes Physics and fails English.] (c) What is the probability that Lesley will fail both subjects