Geometry

Question Analysis
This question involves conditional probability within the context of school club participation.
The main focus is on using the given probabilities of students being in individual clubs and both clubs to apply the conditional probability formula and find the probability of a student being in one club given they are in another club.

Key Concept Explanation
The formula is used to find the probability of event (being in the math club) occurring given that event (being in the drama club) has already occurred.
Here, represents the probability of a student being in both clubs, and is the probability of a student being in the drama club.

Step-by-Step Solution
Identify the given probabilities:
Let be the event that a student is in the math club, so .
Let be the event that a student is in the drama club, so .
The probability of a student being in both clubs is .
Apply the conditional probability formula:
Using

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