Geometry

Question Analysis
This question involves conditional probability in the context of overlapping events in a set (students in a class).
The main focus is on using the formula for conditional probability with given probabilities of individual and overlapping events.

Key Concept Explanation
As mentioned before, the formula for conditional probability is .
Here, represents the event of playing soccer, and represents the event of playing basketball.

Step-by-Step Solution
We know that , , and

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