To find P(A ∩ B) for mutually exclusive events A and B, we first need to understand what mutually exclusive means. Mutually exclusive events are those that cannot occur at the same time. This means that if one event occurs, the other cannot.
In our case, we are given:
- P(A) = 0.2
- P(B) = 0.6
Since A and B are mutually exclusive, the probability of both A and B occurring simultaneously, or P(A ∩ B), is simply 0. This is because the occurrence of A means B cannot happen and vice versa.
Thus, we conclude:
P(A ∩ B) = 0