Conditional Probability

The probability of an event occurring given that another event has already occurred.

P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

The probability of event A occurring given that event B has occurred.

P(A and B) = P(A) * P(B) for independent events.

Independent events do not affect each other's probabilities, while dependent events do.

P(A and B) = 0.5 * 0.4 = 0.2.

The complement of an event A is the event that A does not occur, denoted as A'.

P(A') = 1 - P(A) = 1 - 0.3 = 0.7.

A formula that describes the probability of an event based on prior knowledge of conditions related to the event.

It represents the likelihood of event A happening under the condition that event B is true.