An experiment is rolling two fair dice. a) What is the probability that the sum is 8? Round answer to 3 decimal places. b) What is the probability that the sum is 8 given that the first die is a 3? Round answer to 3 decimal places. c) What is the probability that the first die is a 3 given that the sum is 8? Round answer to 3 decimal places. d) Are the events the sum is 8 and the first die is a 3 independent events? Why or why not? Round answer to 3 decimal places. Select an answer e) What is the probability that the sum is 7? Round answ to 3 decimal places. f) What is the probability that the sum is 7 given that the first die is a 4? Round answer to 3 decimal places. g) What is the probability that the first die is a 4 given that the sum is 7? Round answer to 3 decimal places.