Events E1, E2, E3 are the only possible events of an experiment and their probabilities are recorded. Which of the following can be the possible correct answer? (a) P(E1) = 0.3, P(E2) = 0.4, P(E3) = 0.3 (b) P(E1) = 0.2, P(E2) = 0.4, P(E3) = 0.3 (c) P(E1) = 0.6, P(E2) = –0.3, P(E3) = 0.7 (d) P(E1) = 0.4, P(E2) = 0.1, P(E3) = 0.3
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(a) P(E1)+P(E2)+P(E3) =0.3+0.4+0.3=1.0 possible
(b) P(E1)+P(E2)+P(E3) =0.2+0.4+0.3=0.9
(c) P(E1)+P(E2)+P(E3)=0.6-0.3+0.7=1.0. possible
(d)P(E1)+P(E2)+P(E3)=0.4+0.1+0.3=0. 8
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