Question

{x: x is an even prime number greater than 2} Find if this is an empty set or a singleton set.

A. Empty set
B. Singleton set
C. Neither
D. Both

Answer 1

In mathematics, we determine if two events are mutually exclusive by checking if they can occur at the same time. In this case, event C and event E are not mutually exclusive because they contain overlapping elements.

Step-by-step explanation:

To answer this question, we need to understand what mutually exclusive events are. Two events are considered mutually exclusive if they cannot occur at the same time, meaning that if one event happens, the other cannot happen.

In this case, event C represents odd faces larger than two (C = {3, 5}) and event E represents faces less than five (E = {1, 2, 3, 4}).

Since event C contains numbers that are also present in event E (specifically 3), they are not mutually exclusive. Therefore, the answer is no.