Counting and Probability Section 12.1: Sets and Counting IBTWW…

Slides:

Advertisements

Similar presentations

Set Operations and Venn Diagrams 2.2 – 2.3. The intersection of sets A and B, denoted by, is the set of all elements that are common to both. That is,.

Advertisements

Unit 7: Probability Lesson 1

Operations on Sets Union Intersection: Two sets are disjoint if their intersection is the null set. Difference A - B. Complement of a set A.

Chapter 5 Section 1 Sets Basics Set –Definition: Collection of objects –Specified by listing the elements of the set inside a pair of braces. –Denoted.

Chapter 2 Chapter The sample space of an experiment, denoted S , is the set of all possible outcomes of that experiment. An event is any collection.

Section 5.2 The Addition Rule and Complements

Chapter 2 The Basic Concepts of Set Theory © 2008 Pearson Addison-Wesley. All rights reserved.

Venn Diagrams/Set Theory   Venn Diagram- A picture that illustrates the relationships between two or more sets { } are often used to denote members of.

MTH 231 Section 2.1 Sets and Operations on Sets. Overview The notion of a set (a collection of objects) is introduced in this chapter as the primary way.

Copyright © 2014 Curt Hill Set Operations Now it gets fun.

SECTION 2-3 Set Operations and Cartesian Products Slide

Sets Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Definition of Set A set is a collection of objects called elements.

Set Operations Chapter 2 Sec 3. Union What does the word mean to you? What does it mean in mathematics?

UNIT VOCABULARY Functions. Closed Form of a Sequence (This is also known as the explicit form of a sequence.) For an arithmetic sequence, use a n = a.

Venn Diagrams Warm-up 1.Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how.

3.3 Finding Probability Using Sets. Set Theory Definitions Simple event –Has one outcome –E.g. rolling a die and getting a 4 or pulling one name out of.

Before we do any of these, let's make sure we understand the sets. A, B, and C are subsets of U. May 2001: Paper 2 #1 The sets A, B, and C are subsets.

Chapter 2 Section 3 - Slide 1 Copyright © 2009 Pearson Education, Inc. AND.

Probability theory is the branch of mathematics concerned with analysis of random phenomena. (Encyclopedia Britannica) An experiment: is any action, process.

College Algebra: Section 8.1 Sets and Counting Objectives of this Section Find All the Subsets of a Set Find All the Subsets of a Set Find the Intersection.

15.1 Venn Diagrams OBJ: To use Venn diagrams to illustrate intersections and unions of sets.

Set Operations Section 2.2.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 2.3 Venn Diagrams and Set Operations.

Section 1.2 – 1.3 Outline Intersection  Disjoint Sets (A  B=  ) AND Union  OR Universe The set of items that are possible for membership Venn Diagrams.

MATH 2311 Section 2.2. Sets and Venn Diagrams A set is a collection of objects. Two sets are equal if they contain the same elements. Set A is a subset.

Thinking Mathematically Venn Diagrams and Subsets.

Venn Diagrams and Sets. Venn Diagrams One way to represent or visualize sets is to use Venn diagrams:

Sullivan Algebra and Trigonometry: Section 14.1 Objectives of this Section Find All the Subsets of a Set Find the Intersection and Union of Sets Find the.

Thinking Mathematically Venn Diagrams and Set Operations.

The Basic Concepts of Set Theory. Chapter 1 Set Operations and Cartesian Products.

Unions and Intersections of Sets Chapter 3 Section 8.

Union and Intersection of Sets. Definition - intersection The intersection of two sets A and B is the set containing those elements which are and elements.

A Π B = all elements in both sets A and B

Algebra 2 Chapter 12 Venn Diagrams, Permutations, and Combinations Lesson 12.2.

Section 3.5 More Set Operators and relationships.

Section 6.1 Set and Set Operations. Set: A set is a collection of objects/elements. Ex. A = {w, a, r, d} Sets are often named with capital letters. Order.

The set of whole numbers less than 7 is {1, 2, 3, 4, 5, 6}

Unions and Intersections of Sets

Venn Diagrams and Set Operation

Probability Using Venn Diagrams

Probability Vocabulary

Bellwork Perform Synthetic Division and explain what is the solution of the synthetic division represent?

The Basic Concepts of Set Theory

CSE 2353 – September 22nd 2003 Sets.

Algebra 1 Section 1.1.

The Basic Concepts of Set Theory

Operations with Sets A = { 1, 2, 3 ,4, 5} B = { 2, 4, 6, 8, 10}

Venn Diagrams and Partitions

15.1 Venn Diagrams.

دوره‏ی ضمن خدمت کشوری ریاضی پایه‏ی نهم مرداد 1394.

Chapter Sets &Venn Diagrams.

SETS Sets are denoted by Capital letters Sets use “curly” brackets

MATH 2311 Section 2.2.

Mrs.Volynskaya Alg.2 Ch.1.6 PROBABILITY

VENN DIAGRAMS By Felicia Wright

Sets and Venn Diagrams We use the idea of sets to classify numbers and objects. We use Venn diagrams to illustrate these sets.

Sets, Unions, Intersections, and Complements

Ch. 3 Vocabulary 10.) Union 11.) Intersection 12.) Disjoint sets.

MATH 2311 Section 2.2.

Presentation transcript:

Counting and Probability Section 12.1: Sets and Counting IBTWW… Honors Precalculus Counting and Probability Section 12.1: Sets and Counting IBTWW… 9/12/2018

Sets Union of two sets Intersection of two sets Universal set Elements the objects Subsets Sets within sets Union of two sets Consists of elements which are in either A or B (or both) Intersection of two sets Consists of elements which are in both A and B Universal set Consists of all possible elements for a group Complement of A elements which are in the universal set, but not in A Disjoint sets Sets with no intersection Venn Diagram

List all subsets of A. 2. Find 3. Find 4. Find 5. Find

How many elements are in U? 7. 8. 1 5 11 2 3 4 8 How many elements are in U? 7. 8. 9. How many elements are in C but not B?

Counting and Probability Section 12.1: Sets and Counting IBTWW… Honors Precalculus Counting and Probability Section 12.1: Sets and Counting IBTWW… 9/12/2018

Sets Union of two sets Intersection of two sets Universal set Elements Subsets Union of two sets Intersection of two sets Universal set Complement of A Disjoint sets Venn Diagram

List all subsets of A. 2. Find 3. Find 4. Find 5. Find

How many elements are in U? 7. 8. 1 5 11 2 3 4 8 How many elements are in U? 7. 8. 9. How many elements are in C but not B?