Independence of complements: If A and B are independent, then so are A and B , A and B, and A and B . 4. Connection between independence and conditional probability: If the con- ditional probability P(A|B) is equal to the ordinary (“unconditional”) probability P(A), then A and B are independent.

Are complements mutually independent?

A complement is itself an event. ... An event and its complement are mutually exclusive and exhaustive. This means that in any given experiment, either the event or its complement will happen, but not both. By consequence, the sum of the probabilities of an event and its complement is always equal to 1.

Are all complementary events mutually exclusive?

Complementary events are mutually exclusive events since they cannot occur at the same time.