P(A) • P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = e Bayes's Theorem to find P(A| B) using the probabilities shown below.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter2: Matrices
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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(B| A)
P(A) • P(B| A) + 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)= 0.5, and P(B| A') = 0.7
The probability of event A, given that event B has occurred, is
(Round to the nearest thousandth as needed.)
Transcribed Image Text:The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A) • P(B| A) P(A) • P(B| A) + 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)= 0.5, and P(B| A') = 0.7 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)
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