Probability Query

Question

Let A and B be two events defined on a sample space S such that P(A)=x, P(B)=y, and P(A∪B)=z. Find the following in term of x, y, and z.

1. 𝑃(𝐴' ∩ 𝐵)

Answer 1

P(not A and B) = P(B) - P(A and B) = y - z.