Final answer:
The union of two events A and B is the event that includes both A and B, comprising all outcomes from either event or from both. It is represented in probability by 'OR', and differs from an intersection (AND) which requires outcomes to appear in both events.
Correct option is A
Step-by-step explanation:
The union of two events A and B is the event that includes both A and B. This means that the outcome is in A, or in B, or in both A and B. In probability, the complement of an event A consists of all outcomes that are not in A. The union, often represented with the symbol 'OR', covers all outcomes that are part of either event. This is distinct from the intersection (AND event) where an outcome must be in both A and B. For example, if we have two events where A = {2, 4, 6} and B = {4, 5, 6}, the set A OR B (union of A and B) would include every distinct outcome from both sets: {2, 4, 5, 6}.
If two events are mutually exclusive, they cannot occur at the same time, which means their intersection (A AND B) would be an empty set and so P(A AND B) = 0. However, the concept of mutual exclusivity does not apply to the union of events since the union is concerned with the occurrence of at least one of the events, not their simultaneous occurrence.