Suppose two dice are tossed (for each die, it is equally likely that 1, 2, 3, 4, 5, or 6 dots will show). a. What is the probability that the total of the two dice will add up to 7 or 11? b. What is the probability that the total of the two dice will add up to a number other than 2 or 12? c. Are the events E1 = first die shows a 3 E2 = total of the two dice is 6 independent events? d. Are the events E1 = first die shows a 3 E2 = total of the two dice is 7 independent events? e. Given that the total of the two dice is 5, what is the probability that the first die showed 2 dots? f. Given that the first die shows 5, what is the probability that the total of the two dice is even?