Let S be the sample space of some experiment. Let A, B and C be three events such that P(A) = 0.3, P(B) = 0.6 and P(C) = 0.5. Suppose also that P(AB) = 0.14, P(AC) = 0.1, P(BC) = 0.17 and P(ABC) = 0.7. Find 1. P(AB) = 2. P(AUBUC) = Question 3 (10+10 points) If the probability that a person likes red is 0.2 and 0.15 blue, and 0.65 likes other colors. Suppose that the probability that a person likes red and blue is 0.15. (a) What is the probability that a person likes red or blue? (b) What is the probability that a person likes red nut not blue?