Math Problem Statement

Compute P(B intersect C) to 4 decimal places

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Intersection of Events
Conditional Probability
Independence of Events

Formulas

P(B ∩ C) = P(B) * P(C) (if independent)
P(B ∩ C) = P(B|C) * P(C) (if conditional probability given)

Theorems

Multiplication Rule of Probability
Conditional Probability Theorem
Law of Independence

Suitable Grade Level

Grades 10-12