5. In an experiment, we roll a dice twice and document X as the result of first roll and X2 as the result of the second roll: a. We are interested in the outcome as the sequence of two rolls, i.e., (X1, X2). How many outcomes do we have? [10] b. What is the sample space of this experiment? (Hint: list all outcomes) [10] c. Assuming all outcomes are equally likely to happen with the same probability. What is the probability that the sum of two rolls is 5? [10] d. What is the probability that the sum of two rolls is 7? [10]