Geometry

Question Analysis
This question involves analyzing a Venn Diagram to determine the probability of a compound event with specific conditions.
The main focus is on correctly identifying the relevant regions in the Venn Diagram and calculating the probability based on the number of elements in those regions.

Key Concept Explanation
We need to find the union of the “chocolate only” and “vanilla only” and “chocolate and vanilla” regions while excluding the “strawberry” related regions.
The probability of an event is the number of favorable outcomes divided by the total number of outcomes.

Step - by - Step Solution
Calculate the number of students who like chocolate or vanilla but not strawberry. The number of students who like only chocolate is 15, who like only vanilla is 12, and who like both chocolate and vanilla is 8. So the number of favorable outcomes is 15 + 12 + 8 = 35.
Calculate t...