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Multiplication Rule of Probability

Multiplication Rule of Probability

Sep 13, 20251 min read

statistics
probability
math

Rule

P (A_{1} \cap \dots \cap A_{n}) = P (A_{1}) \times P (A_{2} ∣ A_{1}) \times P (A_{3} ∣ A_{2}, A_{1}) \times \dots P (A_{n} ∣ A_{n - 1}, \dots, A_{1})

Works with any order

Mutual Events Rule

For mutual events $A_{1}, \dots, A_{n}$ Then, $P (A_{1} \cap \dots \cap A_{n}) = P (A_{1}) \times \dots \times P (A_{n})$

Graph View

Rule
Mutual Events Rule

Backlinks

Probability Theory

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