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Let P(A) = A%, P(A U B) = 0.7 . Find P(B) if the events A and B are mutually exclusive_ the events and B are independent: A=20

          Let P(A) = A%, P(A U B) = 0.7 . Find P(B) if the events A and B are mutually exclusive_ the events and B are independent: A=20
        

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Probability with Applications in Engineering, Science, and Technology
Probability with Applications in Engineering, Science, and Technology
Matthew A. Carlton • Jay L. Devore 2nd Edition
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Let P(A) = A%, P(A U B) = 0.7 . Find P(B) if the events A and B are mutually exclusive_ the events and B are independent: A=20
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Transcript

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00:01 In this problem, we are given that the probability of the event a is equal to 0 .2, because this is given as 20%, which is 0 .2, and the probability of a union b, that is equal to 0 .7.
00:15 And we have to find the probability of the event b, given that the two events, a and b, they are mutually exclusive in the first case.
00:28 So if they are mutually exclusive, it means that the probability of a intersection b, that would be simply zero.
00:36 And we use this formula and we plug in the values of the probabilities.
00:40 So doing that, we would get 0 .7 equal to 0 .2 plus probability of b...
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