A standard 6-faced die is rolled twice in an experiment. Let A and B be the outcome of the 1st and 2nd rolls, respectively. Let X denote A-B.
a. List all possible outcomes for X.
b. Tabulate the probability of each outcome.
c. Draw the probability distribution plot, ie., draw the bar graph of probability .vs. outcome X.
d. Given that X is 2, what is the probability that the first roll yielded a 5?
e. Would the answers be different if X = B-A?