Independent Events

Is an event that has a fixed probability that doesn’t change due to circumstance. Situations in which the occurrence or non-occurrence of one event has NO INFLUENCE on the next event that occurs.

Definition

$E$ and $F$ are Independent events if and only if $P(F|E)=P(F)$

Rules

Product Rule

For Compound Events, the product rule is: $P(A\cap B)=P(A)\ast P(B)$

• Independent Event Product Rule Proof

Union

P(A or B) = P(A) + P(B) - P(A and B)

Alternate to: Dependent Events