Question: Find the following probabilities:

(a) Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.4 and P (A or B) = 0.9, find P (B).

(b) Events A and B are defined on a common sample space. If P (B) = 0.20, P (B) = 0.40, and P (A or B) = 0.56, find P (A and B)