Geometry

Question Analysis
This question involves calculating the probability of mutually exclusive events in the context of a die - rolling experiment.
The main focus is on recognizing that rolling a 2 and rolling an odd number are mutually exclusive events (a number cannot be both 2 and odd), and applying the addition rule for mutually exclusive events, , to find the probability of either event occurring.

Key Concept Explanation
Mutually exclusive events, as in this case, have no common outcomes.
When rolling a die, the set of possible outcomes for rolling a 2 is , and the set of possible outcomes for rolling an odd number is .
Since these two sets have no overlapping elements, the events are mutually exclusive, and we can use the addition rule to find the probability of their union.

Step - by - Step Solution
Determine the total number of possible outcomes when rolling a die: There are 6 possible outcomes ().
Calculate the probability of event (rolling a 2):

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