If A and B are the events associated with a random experiment then

provided P(A)≠ 0

and

provided P(B)≠ 0

### Extension of Multiplication Theorem

If A, B and C are three events associated with a random experiment, then

If A_{1}, A_{2}….A_{n} are associated with a random experiment, then

## Independent Events

Two events are called independent if the occurrence or non-occurence of one does not affect the probability of the occurence
of the other.

Two events A and B associated with a random experiment are independent if

provided P(B)≠ 0

andprovided P(A)≠ 0

Also

If A_{1}, A_{2}….A_{n} associated with a random experiment are independent then

### Theorem

If A, B are independent events, then so are

or

or

or