Problem Solving & Data AnalysisMedium
Probability and conditional probability
Calculate simple and conditional probabilities from tables, Venn diagrams, and descriptions.
Sample SAT Problem
In a class of 30, 18 play soccer and 12 play basketball. 6 play both. What is the probability a student plays soccer but not basketball?
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Step-by-Step Solution
Soccer only = 18 − 6 = 12. P = 12/30 = 2/5.
Key Tips from Pamela
- Use a two-way table to organize conditional probability problems.
- P(A and B) = P(A) × P(B) only when events are independent.
- Conditional probability: P(A|B) = P(A and B) / P(B).
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