Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events within the context of a school sports day.
The main focus is on using the number of students in each event category to find the individual probabilities and the probability of their intersection, then applying the formula for non - mutually exclusive events.

Key Concept Explanation
For non - mutually exclusive events A (student in track events) and B (student in field events), the formula is used.
This formula ensures that students participating in both types of events are not double - counted when calculating the probability of being in either track or field events.

Step-by-Step Solution
The probability that a student is in track events, .
The probability that a student is in field events, .
The probability that a student is in both track and field events,

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