Let A and B two mutually exclusive events of a sample space S. If P(A)=0.6, P(B)=0.2 , find the probability of each of the following events
a)P(A ∩ B)
p(A and B)=0.6*0.2=0.12
To find the probability of the intersection of two events, A ∩ B, when A and B are mutually exclusive, we need to understand that mutually exclusive events cannot occur at the same time. This means that if event A happens, then event B cannot happen, and vice versa.
Since A and B are mutually exclusive, their intersection, A ∩ B, is an empty set, meaning there are no outcomes that satisfy both A and B simultaneously.
Therefore, the probability of the intersection of mutually exclusive events, P(A ∩ B), is 0.