Geometry

Question Analysis
This question requires calculating the probability of the symmetric difference (XOR) of two events: elements in M or N, but not both.
The main focus is excluding the intersection region.

Key Concept Explanation
The "exclusive or" (XOR) of two events includes only the non-overlapping parts of each set.
In this case, it's the sum of "Only M" and "Only N" regions.
The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.

Step-by-Step Solution
Calculate exclusive or:
Only M: 8, Only N: 20
Total exclusive or: 8 + 20 = 28
Probability:

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