The correct equation that represents the condition that the events E1 and E2 are nonexclusive is:
B. P(E1 ∪ E2) > 1
Explanation:
1. In probability theory, events are said to be exclusive (or mutually exclusive) if they cannot occur together in the same outcome.
2. Conversely, events are nonexclusive (or not mutually exclusive) if they can occur together in the same outcome.
3. The symbol ∪ denotes the union of two events, representing the event that at least one of the events occurs.
4. For nonexclusive events, the probability of the union of the events (P(E1 ∪ E2)) must be greater than 1, indicating that there is a possibility of both events occurring together.
5. Therefore, option B (P(E1 ∪ E2) > 1) correctly represents the condition for nonexclusive events.
I hope this explanation clarifies the concept for you. Let me know if you need further assistance.
