Respuesta :

Solution

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

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex][tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

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