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Vocabulary, Set Notation, and Venn Diagrams
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Probability A number from 0 to 1 As a percent from 0% to 100%
Indicates how likely an event will occur
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Diagram from Walch Education
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Experiment Any process or action that has observable results.
Example: drawing a card from a deck of cards is an experiment
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Outcomes Results from experiments
Example: all the cards in the deck are possible outcomes
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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
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Event A subset of an experiment An outcome or set of desired outcomes
Example: drawing a single Jack of hearts
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Set List or collection of items
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Subset List or collection of items all contained within another set
Denoted by AB, if all the elements of A are also in B.
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Empty Set A set that has NO elements Also called a null set.
Denoted by
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Union Denoted by To unite Everything in both sets
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Intersection Denoted by Only what the sets share in common
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Complement Denoted 2 different ways Everything OUTSIDE of this set
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Set Notation Handout Answer
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B E Ellis Don 1. Draw a venn diagram to represent this. Brisa Steve
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 1. Draw a venn diagram to represent this. B E Ellis Alicia Brisa Steve Don
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B = {Ellis, Alicia} 2. List the outcomes of B.
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 2. List the outcomes of B. B = {Ellis, Alicia}
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E = {Alicia, Brisa, Steve}
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 3. List the outcomes of E. E = {Alicia, Brisa, Steve}
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BE = {Alicia} 4. List the outcomes of BE.
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 4. List the outcomes of BE. BE = {Alicia}
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BE = {Ellis, Alicia, Brisa, Steve}
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 5. List the outcomes of BE. BE = {Ellis, Alicia, Brisa, Steve}
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B’= {Brisa, Steve, Don} 6. List the outcomes of B’.
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 6. List the outcomes of B’. B’= {Brisa, Steve, Don}
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(BE)’ = {Don} 7. List the outcomes of (BE)’.
Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis. B: The name begins with a vowel. E: The name ends with a vowel. 7. List the outcomes of (BE)’. (BE)’ = {Don}
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10.1 Reading Strategies WS #1 – 9
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Classwork Worksheet Using Venn Diagrams
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HW Worksheet Using Venn Diagrams 24 problems
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