Events A A\,A and B B\,B are mutually exclusive, with P(A)=0.4P(A)=0.4P(A)=0.4 and P(B)=0.3P(B)=0.3P(B)=0.3.
Find P(A∩B)P(A\cap B)P(A∩B).
Find P(A∪B)P(A\cup B)P(A∪B).
Find the probability that neither event occurs.