Are complementary events independent

1. Are complement independent events?
2. Are complementary events independent are they mutually exclusive?
3. Can two complementary events be independent?
4. What are the rules of complementary events?

Are complement independent events?

If A and B are independent events then A complement and B complement are also independent events.

Are complementary events independent are they mutually exclusive?

Complementary events are mutually exclusive. However, mutually exclusive events need not be complemen- tary. The fraction of the sample space which is in A is P(A). The fraction of A which is also in B is P(B|A), the conditional probability that B occurs, given that A occurs.

Can two complementary events be independent?

In conclusion, if two events are independent, then their complements are also independent.

What are the rules of complementary events?

Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1. For example, rolling a 5 or greater and rolling a 4 or less on a die are complementary events, because a roll is 5 or greater if and only if it is not 4 or less.