Let A and B be two incompatible events such that P (A) = 0, 3 and...
Let A and B be two incompatible events such that P (A) = 0, 3
and P (B) = 0, 5. What are
the probabilities
(a) A or B is realized;
b) that A, but not B, is realized;
c) that neither A nor B are realized?
Homework Answers
a) A and B are incompatible events i.e., they are mutually exclusive
Therefore, the probability that either A or B is realized =
p(A)+p(B) - p(A
B)
Since they are mutually exclusive, p(AB) = 0
Therefore, p(A)+p(B) = 0.8
b) A but not B is realized = P(A)+p(B|) = 0.3+(1-0.5) = 0.8
c) Neither A nor B = 1-p(either A or B) = 1-0.8 = 0.2
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