14. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.2.003.MI. Given P(A) = 0.4 and P(B) = 0.3, do the following. (a) If A and B are mutually exclusive events, compute P(A or B). (b) If P(A and B) = 0.1, compute P(A or B). 15. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.2.005.MI. Given P(A) = 0.2 and P(B) = 0.8, do the following. (a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.5, compute P(A and B). 16. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.2.019.MI. You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6? (Enter your answer as a fraction.) (b) What is the probability of getting a sum of 10? (Enter your answer as a fraction.) (c) What is the probability of getting a sum of 6 or 10? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No