6. The sample space S of a random experiment is given by S = = {a, b, c, d) with probabilities, P(a) 0.2, P(b) = 0.3, P(c) = 0.4, and P(d) = 0.1. The outcomes {a, b, c, d} are mutually exclu- sive. Let A denote the event a, b, and B the event B the event {b, c, d}. Determine the following probabilities: a. P(A) b. P(B) c. P(A) (a) d. P(AUB) e. P(ANB) (b) a (c) 81 (d) S1 82 83 82 83 82 81 83 Figure 1: 83