STA 2023

Multiplicative Rule

(independent events) use rule when asked to calculate the probability of the occurence of one event and another P(A)andP(B)=P(A)*P(B)

Additive Rule of Probability

A statistical property that states the probability of one and/or two events occurring at the same time is equal to the probability of the first event occurring, plus the probability of the second event occurring, minus the probability that both events occur at the same time. *[ P(A U B) ]

Event

a specific collection of sample points

The intersect of two events an be calculated by?

Multiplicative Rule

P(A U B) means?

P(A or B)

What's the difference between permutative and combination rule?

The permutation rule takes order into account, whereas the combination rule does not.

Conditional Probability

The probability of an event occurring given that another has occurred. The probability of A given that B has occurred is denoted as P(A|B).

Mutually exclusive event

Two events that cannot occur at the same time (a disjoint) [ P(A U B) = P(A) + P(B) ]

Probability of a sample point is?

a number between 0 and 1 which measures the likelihood an outcome will occur when the experiment is performed

Combination Rule

allows us to find the number of n-element subsets of an n-element group by selection without replacement; the same elements in different orders represent the same group

Experiment

an ac or process of observation that lead to a single outcome that cannot be predicted

What is the probability of a sample point called?

relative frequency

Observation

the action or process of observing something or someone carefully or in order to gain information

Sample Point

the basis outcome of an experiment

Sample Space

the collection of a sample points of an experiment

Union of two events

the event that occurs if either A or B (or both) occurs on a single performance of an experiment

Venn Diagram

the graphical representation of a sample space using points or dots