Two five-sided dice are rolled. Consider the following events: Event A: The sum of the two dice equals six. Event B: The maximum value of the two dice equals four. Event C: Die 1 equals four.

(a) Compute P(A c ). Round your answer to one decimal place. (b) Compute P(B c ). Round your answer to two decimal places. (c) Compute P(C c ). Round your answer to one decimal place. (d) How many sample points do event A and event B share in common (if any)? Report your answer as an integer. (e) Compute P(A B) using the Classical Method. Round your answer to two decimal places. (f) Compute the conditional probability P(A|B). Round your answer to three decimal places. (g) Are events A and B statistically independent? (h) Compute P(A B) using the Additive Law of Probability. Round your answer to one decimal place. (i) How many sample points do event A and event C share in common (if any)? Report your answer as an integer. (j) Compute P(A C) using the Classical Method. Round your answer to two decimal places. (k) Compute the conditional probability P(A|C). Round your answer to one decimal place. (l) Are events A and C statistically independent? (m) Compute P(A C) using the Additive Law of Probability. Round your answer to two decimal places. (n) How many sample points do event B and event C share in common (if any)? Report your answer as an integer.

(o) Compute P(B C) using the Classical Method. Round your answer to two decimal places. (p) Compute the conditional probability P(B|C). Round your answer to one decimal place. (q) Are events B and C statistically independent? (r) Compute

P(B C) using the Additive Law of Probability. Round your answer to two decimal places.