Geometry

Question Analysis
This question involves understanding the concept of mutually exclusive events in the context of a simple probability experiment (rolling a die).
The main focus is on identifying which pairs of events cannot occur simultaneously.

Key Concept Explanation
Mutually exclusive events are events that cannot happen at the same time.
In probability, if A and B are mutually exclusive events, then the probability of both A and B occurring, denoted as P(A ∩ B), is 0.

Step - by - Step Solution
Analyze each option:
Option A: An even number can be 2, 4, 6. A number greater than 4 can be 5, 6. So, 6 is common to both events, and they are not mutually exclusive.
Option B: 3 is an odd number. So, if event A occurs (rolling a 3), event B also occurs (rolling an odd number), and they are not mutually exclusive.
Option C: When rolling a...