Understanding Set Notation and Probability in Visuals

Explore the concepts of vocabulary, set notation, Venn diagrams, probability, experiments, outcomes, sample space, events, unions, intersections, complements, and set notation through visual aids and clear explanations. Learn about subsets, empty sets, and more in this comprehensive resource from Walch Education.

• Set Notation
• Probability
• Venn Diagrams
• Experiments
• Visual Learning

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1. Vocabulary, Set Notation, and Venn Diagrams

2. Probability A number from 0 to 1 As a percent from 0% to 100% Indicates how likely an event will occur

3. Diagram from Walch Education

4. Experiment Any process or action that has observable results. Example: drawing a card from a deck of cards is an experiment

5. Outcomes Results from experiments Example: all the cards in the deck are possible outcomes

6. Sample Space The set (or list) of all possible outcomes. Also known as the universal set Example: listing out all the cards in the deck would be the sample space

7. Event A subset of an experiment An outcome or set of desired outcomes Example: drawing a single Jack of hearts

8. Set List or collection of items

9. Subset List or collection of items all contained within another set Denoted by A B, if all the elements of A are also in B.

10. Empty Set A set that has NO elements Also called a null set. Denoted by

11. Union Denoted by To unite Everything in both sets

12. Intersection Denoted by Only what the sets share in common

13. Complement Denoted 2 different ways ' A or A Everything OUTSIDE of this set

14. Set Notation Handout Answer

15. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 1. Draw a venn diagram to represent this. B: The name begins with a vowel. B E Brisa Steve E: The name ends with a vowel. Ellis Alicia Don

16. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 2. List the outcomes of B. B = {Ellis, Alicia} B: The name begins with a vowel. E: The name ends with a vowel.

17. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 3. List the outcomes of E. E = {Alicia, Brisa, Steve} B: The name begins with a vowel. E: The name ends with a vowel.

18. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 4. List the outcomes of B E. B E = {Alicia} B: The name begins with a vowel. E: The name ends with a vowel.

19. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 5. List the outcomes of B E. B E = {Ellis, Alicia, Brisa, Steve} B: The name begins with a vowel. E: The name ends with a vowel.

20. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 6. List the outcomes of B . B = {Brisa, Steve, Don} B: The name begins with a vowel. E: The name ends with a vowel.

21. Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. 7. List the outcomes of (B E) . (B E) = {Don} B: The name begins with a vowel. E: The name ends with a vowel.

22. 10.1 Reading Strategies WS #1 9

23. Classwork Worksheet Using Venn Diagrams

24. HW Worksheet Using Venn Diagrams 24 problems