Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events within the context of an online learning platform's course offerings.
The main focus is on using the number of courses 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.
Here, event A represents a course being programming - related, and event B represents a course being data science - 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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