Independent Events

A and B are independent events if and only if

Notes:

• Two events are independent if the occurrence of one event does not alter your assessment of the likelihood of occurrence of the other event, i.e., your unconditional probability assessment doesn't change.
• Equivalently, A and B are independent if and only if This follows from the Multiplication Rule and the above definition.
• For three events A, B and C to be (mutually) independent, they must satisfy The events are only pairwise independent if only the first three equations are satisfied.