For a class activity, your group has been assigned the task of generating a quiz question that requires use of the formula for conditional probability to compute P(B | A). Your group comes up with the following question "If P(A and B) = 0.40 and P(A) = 0.20, what is the value of P(B | A)?" What is wrong with this question? Hint: Consider the answer you get when using the correct formula, P(B | A) = P(A and B)/P(A).

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Asked Sep 21, 2019
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For a class activity, your group has been assigned the task of generating a quiz question that requires use of the formula for conditional probability to compute P(B | A). Your group comes up with the following question "If P(A and B) = 0.40 and P(A) = 0.20, what is the value of P(B | A)?" What is wrong with this question? Hint: Consider the answer you get when using the correct formula, P(B | A) = P(A and B)/P(A).

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Expert Answer

Step 1

Solution:

We are given:

 

P(AnB) 0.40, P( 0.20
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P(AnB) 0.40, P( 0.20

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Step 2

We have to find:

 

...
P(BIA)
We know that:
P(BI4)PAnB)
P(A)
0.4
=2
0.2
This is impossible because fhe probability cannot exceed 1
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P(BIA) We know that: P(BI4)PAnB) P(A) 0.4 =2 0.2 This is impossible because fhe probability cannot exceed 1

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