Six simple events, with probabilities P (E1) = 0.11; P (E2) = P (E5) = 0.20; P (E3) = 0.25; P (E4) = 0.09; P (E6) = 0.15, constitute the entire set of out- comes of an experiment. The following events are of interest:
A = {E1, E2 }; B = {E2, E3, E4 }; C = {E5, E6}; D = {E1 , E2, E5}
Determine the following probabilities: (i) P (A),P (B),P (C),P (D);
(ii) P (A ∪ B),P (A ∩ B); P (A ∪ D),P (A ∩ D); P (B ∪ C),P (B ∩ C);
(iii) P (B|A),P (A|B); P (B|C),P (D|C)
Which of the events A, B, C and D are mutually exclusive?