Consider an experiment involving two successive rolls of a 4-sided die in which all 16 possible outcomes are equally likely and have probability 1/16. (a) Let Ai be the event that the first roll results in i and let Bj be the event that the second roll results in j. Are Ai and Bj independent? (b) Let A be the event that the first roll is a 1 and B be the event that the sum of the two rolls is a 5. Are A and B independent? (c) Let A be the event that the maximum of the two rolls is 2 and B be the event that the minimum of the two rolls is 2. Are A and B independent?