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Independent Events

Middle School

Definition

Two events are independent if the occurrence of one doesn't affect the probability of the other.

Formulas

P(A ∩ B) = P(A) · P(B)

Definition of independence

P(A|B) = P(A)

Conditional equals unconditional probability

Examples

Example 1

Are two coin flips independent?

Applications

Statistics

Independent sample assumption

Reliability Engineering

System failure probability

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