Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events in the context of a school talent show.
The main focus is on using the number of students in each category to determine the probabilities and apply the formula for non - mutually exclusive events.

Key Concept Explanation
For non - mutually exclusive events A (a student can sing) and B (a student can dance), the formula is used to find the probability of a student being able to perform either activity, while avoiding double - counting students who can do both.

Step-by-Step Solution
The probability that a student can sing, .
The probability that a student can dance,