Math Problem Statement
Explain the term independent events. Also show that, if A and B are independent events then i) ii) AC and B are also independent. AC and BC are also independent.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Complementary Events
Formulas
P(A ∩ B) = P(A) × P(B)
P(A^C ∩ B) = P(B) - P(A) × P(B)
P(A^C ∩ B^C) = (1 - P(A)) × (1 - P(B))
Theorems
Independence of Events Theorem
Inclusion-Exclusion Principle
Suitable Grade Level
Grades 10-12
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