Probability Unit 4

Empirical Probability

Probability is determined by physically performing many trials.

Stimulated Probability

Probability is determined through many computer outputs.

Probably Formula

Amount/Full amount

Conduct a stimulation

State: What is the probability?

Plan: Assign, Consider, Record

Do: Repeat many times

Conclude: The findings

Complement Rule

1-P(A)

Intersection (A ∩ B):

AND: Outcome with both A and B

Union (A ∪ B):

OR: Outcome in A or B

Mutually not exclusive/inclusive

Events that can occur at the same time

Mutually Inclusive Probability Formula

P(A ∪ B)=P(A)+P(B)-P(A ∩ B)

Mutually Exclusive

Two events cannot happen at the same time

How to check for mutually exclusive:

P(A ∩ B) = 0

Mutually exclusive formula

P(A ∪ B) = P(A) + P(B)

Independent

The occurrence of one event does not affect the probability of the other

Check for independence

P(A ∩ B) = P(A)xP(B)

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

Conditional Probability

Probability that one event happens given that another event is already known to have happened.

Conditional Probability Formula

P(A|B) = P(A∩B)/P(B)