A pair of fair dice is tossed. Define the events A and B as follows. Complete parts a through d below. A: {A6 is rolled } (The sum of the numbers of dots on the upper faces of the two dice is equal to 6.) B: { At least one of the two dice is showing a 5} a. Identify the sample points in the events A,B,A∩B,A∪B, and AC. b. Find P(A),P(B),P(A∩B),P(A∪B), and P(AC) by summing the probabilities of the appropriate sample points. Since the probability of each sample point in A is and there is/are sample point(s) in A, P(A)= (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in B is and there is/are sample point(s) in B.P(B)= (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in A∩B is and there is are sample point(s) in A∩B,P(A∩B)= (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in AUB is and there is/are sample point(s) in A∪B,P(A∪B)= c. Use the additive rule to find P(A∪B). Compare your answer with that for the same event in part b. Use the additive rule to find P(A∪B) P(A∪B)= (Simplify your answer. Type an integer or a fraction.) ​ Compare your answer for P(A UB) in part c with that for the same event in part b. The result for P(A∪B) using the additive rule is the rosult for P(A∪B) from summing the probabilites of the sample points d. Are A and B mutually exclusive? Why? The events A and B mutually exclusive because (Simplify your answer. Type an integer or a fraction.)