Question

According to the general equation for conditional probability, if P(A|B)= 3/7and P(B) = 8/7 what is P(A|B)?

Answer 1

For this case we have the following probabilities:

P(A|B) = 3/7 and P(B)= 8/7

We can use the following definition from the Bayes theorem

`P(A|B)=(P(A\cap B))/(P(B))`
`P(A|B)=(P(A\cap B))/(P(B))`

P(A ∩ B)= P(A|B)* P(B)= 3/7 * 8/7 = 24/49