Annie and her friends are playing a dice game called doubles. in the game, a player rolls two dice at the same time. the outcome of each roll is the sum of the two dice. extra points are scored for rolling doubles — the same number on both dice. part a: use the multiplication principle to find the total number of possible outcomes for each roll in the game. (1 point)part b: complete this table to show the sample space for each roll in the game. (6 points)1 2 3 4 5 61 2 3 4 5 6 part c: use parts a and b to answer each question. show your work. express each probability as a fraction in simplest form. (10 points)what is the probability of rolling double sixes? what is the probability of rolling doubles? is rolling doubles a simple event or compound event? explain. what is the probability that annie rolls a sum of 6 and josé rolls doubles? for a single roll of two dice, are rolling a sum of 6 and rolling doubles mutually exclusive events? for a single roll of two dice, are rolling a sum of 6 and rolling doubles independent events? explain.