A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?

Explanation

To determine whether the events E and F are mutually exclusive, we need to analyze the definitions of the events and their intersection.

### Step-by-step Solution:

1. **Define the Events**:
- Let event E be the event that the die shows 4. Therefore, we can represent this as:
\[
E = \{4\}
...