Lecture8

# Lecture8 - – When the two events overlap the intersection...

This preview shows pages 1–6. Sign up to view the full content.

Probability Laws Section 4.3 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 8

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Basic Notation ∩ = “intersect” = “and” = x U = “union” = “or” = + P(A) = “The probability of event A” 2 STAT 225, Dallas Bateman, Spring 2010
De Morgan’s Law (A U B) C = A C ∩ B C (A∩B) C = A C U B C 3 STAT 225, Dallas Bateman, Spring 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Compliment Anything NOT included in the event A. Denoted as A C For each event A, P(A) = 1 – P(A C ) 4 STAT 225, Dallas Bateman, Spring 2010 A A C
Addition Law P(A U B) = P(A) + P(B) – P(A∩B)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: – When the two events overlap, the intersection is counted twice; therefore, we subtract the interaction This intersection is counted twice in the addition rule 5 STAT 225, Dallas Bateman, Spring 2010 Inclusion-Exclusion Principle • P(A U B U C) = P(A) + P(B) + P(C) – P(A∩B) – P(A∩C) – P(B∩C) + P(A∩B∩C) – Add all the “odd-way” intersections – Subtract all the “even-way” interactions 6 STAT 225, Dallas Bateman, Spring 2010...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

Lecture8 - – When the two events overlap the intersection...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online