Geometry

Question Analysis
This question requires interpreting a described tree diagram to calculate a specific probability path.
The main focus is on understanding conditional probabilities in a two-stage scenario.

Key Concept Explanation
Tree diagrams visually represent sequential probabilities
Joint probability calculation: P(A and B) = P(A) × P(B|A)
The problem combines initial choice probability (Club/No Club) with subsequent conditional probabilities

Step-by-Step Solution
Identify the required path:
First: Student chooses Club (P(C) = 40%)
Then: Chooses Math Club g...