Use the following probabilities to answer the question. Round to 4 decimal places. P(A)=0.52P(A)=0.52, P(B)=0.43P(B)=0.43, P(AandB)=0.05P(AandB)=0.05. P(B∣A)=P(B∣A)=

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Use the following probabilities to answer the question. Round to 4 decimal places.

P(A)=0.52P(A)=0.52, P(B)=0.43P(B)=0.43, P(AandB)=0.05P(AandB)=0.05.

P(B∣A)=P(B∣A)=

Expert Solution
Step 1

Given information:

The probability of event A is, PA=0.52

The probability of event B is, PB=0.43

The probability of both the events A and B is, PA and B=0.05

It is required to obtain the conditional probability of B given A, that is, PB|A

Introduction:

The term "conditional probability" refers to the likelihood value of event X given that some other event Y (or events) has already appeared in past with some likelihood value. Mathematically, it can be computed as:

PX|Y=PX and YPY

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