Using the Bayesian Network shown below: P(A=true) A 0.4 A P(B=true|A) true 0.2 B false 0.4 B P(C=true|B) C true 0.75 false 0.5 Calculate the conditional probability: P (A=true | B=true, C=false)
Using the Bayesian Network shown below: P(A=true) A 0.4 A P(B=true|A) true 0.2 B false 0.4 B P(C=true|B) C true 0.75 false 0.5 Calculate the conditional probability: P (A=true | B=true, C=false)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 51E: Use the Multiplication Property of Probabilities. If P(A)=0.3 and P(BA)=0.6, find P(AB).
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Question
![Using the Bayesian Network shown below:
P(A=true)
A
0.4
A
P(B=true|A)
true
0.2
B
false
0.4
B
P(C=true|B)
C
true
0.75
false
0.5
Calculate the conditional probability: P (A=true | B=true, C=false)
Show
your calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85ff80cd-34a8-4471-9907-d9de1b52412a%2F092f3e70-de36-4441-9dd3-8d059c15229e%2Fht4g5lb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the Bayesian Network shown below:
P(A=true)
A
0.4
A
P(B=true|A)
true
0.2
B
false
0.4
B
P(C=true|B)
C
true
0.75
false
0.5
Calculate the conditional probability: P (A=true | B=true, C=false)
Show
your calculations.
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