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Let A and B be two events in a sample space S such that P(A) = 0.4, P(B) = 0.6, and P(A ∩ B) = 0.3. Find P(A|B)

          Let A and B be two events in a sample space S such that P(A) = 0.4, P(B) = 0.6, and P(A ∩ B) = 0.3. Find P(A|B)
        

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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 A and B be two events in a sample space S such that P(A) = 0.4, P(B) = 0.6, and P(A ∩ B) = 0.3. Find P(A|B)
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Transcript

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00:01 In this problem, we are given that there are two events, a and b, which belong to the sample space, such that the probability of the event a is equal to 0 .4, probability of event b that is equal to 0 .6.
00:15 And the conditional probability of a given b needs to be computed, provided that we also have probability of a intersection b as 0 .3, which is given to us.
00:27 So here we will simply use this formula for conditional probability, and we see that the probability of a given b is probability of a intersection b over probability of b...
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