Independent Events

_Part Three

Two events are independent if the outcome of one does not influence the outcome of the second. Two events A and B are independent events if the fact that A occurs does not affect the probability of B occurring. If two events are not independent, they are dependent events.

If A and B are independent events, then P(A ∩ B) = P(A)P(B)

• If we have independent events, they we multiply their probabilities.
• You can use exponents for finding the probability of X independent events that have the same probability.

The compliment of P(none) is P(at least one).

P(at least one) = 1 - P(none)