stat

complement rule equation

P(A^c) = 1-P(A)

addition rule of the union of 2 events equation

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

addition rule if events are mutually exclusive

P(A) + P(B)

multiplication rule: probability of the intersection of independent events equation

P(A and B) = P(A) x P(B)

Conditional probability equation

(probability of event A given that B has occurred)

P(A|B) = P(A and B) / P(B)

the probability in the denominator is always the what event

given

General multiplication rule for any two events

(probability that A and B both occur)

P(A and B) = P(A|B) x P(B) or vice versa

what are the 3 ways to determine if an event is independent

P(A|B) = P(A) or vice versa

P(A and B) = P(A) x P(B)

THEY HAVE TO EQUAL EACHOTHER