According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. PA) P(B Α) •P(B| A') P(A) • P(B| A) + P (A') •P P(A| B) = %3D Use Bayes' Theorem to find P(A B) using the probabilities shown below. 1 P(A) = 3 P(B| A) = 1 1 and P(B| A') 2 10 The probability of event A, given that event B has occurred, is P(A B) =. (Round to the nearest thousandth as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
P(A) • P(B| A)
P(A) • P(B| A) + P (A') •P(B| A')
P(A| B) =
Use Bayes' Theorem to find P(A| B) using the probabilities shown below.
1
3
1
1
P(A) =, P(A') = P(B| A) =
q.P(A')
and P(B| A')
10
2
The probability of event A, given that event B has occurred, is P(A| B) =
(Round to the nearest thousandth as needed.)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) • P(B| A) P(A) • P(B| A) + P (A') •P(B| A') P(A| B) = Use Bayes' Theorem to find P(A| B) using the probabilities shown below. 1 3 1 1 P(A) =, P(A') = P(B| A) = q.P(A') and P(B| A') 10 2 The probability of event A, given that event B has occurred, is P(A| B) = (Round to the nearest thousandth as needed.)
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