Geometry

Question Analysis
This question involves applying the concept of non - mutually exclusive events to a school club membership and sports participation scenario.
The main focus is on using the given number of members in each category to calculate the probabilities and then apply the non - mutually exclusive events formula.

Key Concept Explanation
For non - mutually exclusive events A and B (where A is a member playing basketball and B is a member playing football), P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
This formula ensures that members who play both sports are not counted twice when calculating the probability of playing either sport.

Step-by-Step Solution
P(Basketball) = 12/20, P(Football) = 10/20, P(Basketball ∩ Football)...