Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events in the context of an online learning platform's courses.
The main focus is on determining the probabilities of each event and their intersection, and then applying the formula for non - mutually exclusive events.

Key Concept Explanation
For non - mutually exclusive events A (a course is in mathematics) and B (a course is self - paced), the formula is used to find the probability of a course being either a mathematics course or self - paced, while avoiding double - counting courses that are both.

Step-by-Step Solution
The probability that a course is in mathematics, .
The probability that a course is self - paced, .
The probability that a course is both mathematics and self - paced,

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