Question

Given that P(B|A)=0.88 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.

Answer 1

Answer:  0.405

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Work Shown:

The notation P(B|A) has a vertical line separating the B and A

Given values

• P(B|A) = 0.88
• P(A) = 0.46

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P(B|A) = P(B and A)/P(A) ... conditional probability formula

P(B and A) = P(B|A)*P(A) ... solve for P(B and A)

P(B and A) = 0.88*0.46 ... plug in given values

P(B and A) = 0.4048

P(B and A) = 0.405 .... rounding to three decimal places

This is the same as P(A and B).