Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events within the context of community center classes.
The main focus is on using the number of classes in each category to determine the individual probabilities, the probability of their intersection, and then applying the formula for non - mutually exclusive events.

Key Concept Explanation
For non - mutually exclusive events A and B, the formula is used.
In this case, event A is a class being fitness - related, and event B is a class being arts - related.

Step-by-Step Solution
First, calculate the probability of event A:

Next, calculate the probability of event B:

Then, calculate the probability of the intersection of A and B:

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