The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A) P(BA) P(A) P(BA) + P(A') .P(B|A') P(A/B) = Use Bayes's Theorem to find P(A| B) using the probabilities shown below. P(A) = 0.25, P (A') = 0.75, P(B| A) = 0.1, and P (B| A') = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)

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The probability of event A, given that event B has occurred, can be found using Bayes's Theorem.
P(A) P(BA)
P(A) P(B) A) + P(A) -P(BA)
P(A| B)=-
Use Bayes's Theorem to find P(A| B) using the probabilities shown below.
P(A) = 0.25, P (A') = 0.75, P(B| A) = 0.1, and P(B| A') =
= 0.5
The probability of event A, given that event B has occurred, is
(Round to the nearest thousandth as needed.)
Transcribed Image Text:K The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A) P(BA) P(A) P(B) A) + P(A) -P(BA) P(A| B)=- Use Bayes's Theorem to find P(A| B) using the probabilities shown below. P(A) = 0.25, P (A') = 0.75, P(B| A) = 0.1, and P(B| A') = = 0.5 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)
Expert Solution
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It is given that, P(A) = 0.25, P(A’) = 0.75, P(B|A) = 0.1, and P(B|A’) = 0.5.

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