Stat 213 midterm

random experiment

an observational process whose results cannot be known in advance

Element

A specific outcome in an experiment

Sample Space

the set of all possible outcomes of a probability experiment

Event

A collection of elements that are of interest or have a common characteristic

The multiplicative rule

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

Set theory notation

This allows us to write probability expressions in a more convenient way with more complicated expressions

complement

the element of a sample that does not belong

Rule of Complements

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

Union

the set of elements that belong to A or B or both

Intersection

the set of elements that belong to both A and B

Addition Rule

P(A) + P(B) - P(AuB) = P(AnB)

Law of Total Probability

P(A)=P(AnB)+P(AnB^C)

Mutual Exclusivity

when two events are completely separate from each other

Multiplication Formula

R^M, where R is number of outcomes and M is number of trials

Condtional probaiblity

the likelihood of an event occurring given that another event has already happened P(A|B)
Right to left

At most a #

All numbers up to # including #

At least a #

All numbers after # including #