Suppose PAB PA PA and B 42 and PA 06 What is PBSolutionPA

Suppose P(A\\B) = P(A), P(A and B) = .42, and P(A) =0.6. What is P(B)?

Solution

P(A | B) = P(A) is condition for independence => P(A and B) = P(A) * P(B)

=> 0.42 = 0.6 * P(B)

=> P(B) = 0.7