statistics 2300 Chapter 5.2-.3

independent

if knowing whether one event occurs does not effect the probability that the other event occurs

P(A and B)

P(A) x P(B)

independent

if knowing whether one event occurs does not effect the probability that the other event occurs

P(A and B)

P(A) x P(B)

if mutually exclusive P (A or B)

P(A) + P(B)

P(A or B)

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

P(at least one)

= 1 - P(none)

dependent

one occurrence of a certain event effects the occurrence of a different event

mutually exclusive (disjoint)

do not have any common outcomes

intersection

two events A and B consists of the outcomes in both A and B

union

two events A and B consists of the outcomes that are in A or B. In probability, "A or B" denotes that A occurs or B occurs or both occur.

Venn Diagram

a diagram that uses circles to represent mathematical or logical sets pictorially inside a rectangle