business statistics

Question

P(A)=0.47, P(B)=0.43, and P(A and B)=0.10

P(B | A) =

Answer 1

An interesting way to approach this problem if you are more visual is to consider a Venn Diagram of this scenario.

Answer 2

Use the formula for conditional probability.

P(A and B) = P(A)P(B|A)

P(B|A)=P(A and B)/P(A)

P(B|A)=0.1/0.47=10/47