Conditional Probability Exam Prep

Conditional probability is the probability of an event occurring given that another event has already occurred.

Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

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

Two events A and B are independent if P(A and B) = P(A) * P(B).

The events are dependent; the probability changes after the first draw.

P(S) represents the probability of event S occurring.

P(S|CS) represents the probability of event S occurring given that event CS has occurred.

P(A or B) = P(A) + P(B) - P(A and B).

P(diamond or face card) = 13/52 + 12/52 - 3/52.