A classroom has 30 students: 18 play chess, 15 play checkers, and 8 play both. What is the probability a student plays chess or checkers?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question uses classroom activity data to test non-mutually exclusive event probability.
The focus is applying the union formula to overlapping game players.
Key Concept Explanation
For non - mutually exclusive events A and B, the probability of A or B is given by P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
Events A (chess) and B (checkers) overlap; the formula subtracts the both-players count to avoid double-counting.
Step-by-Step Solution
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