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Lecture2 - Venn Diagrams Probability Laws Notes Lecture 2...

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Venn Diagrams; Probability Laws Set Operations and Relations Venn Diagram 2.1 Lecture 2 Venn Diagrams; Probability Laws Text: A Course in Probability by Weiss 2 . 4 STAT 225 Introduction to Probability Models January 8, 2014 Whitney Huang Purdue University Venn Diagrams; Probability Laws Set Operations and Relations Venn Diagram 2.2 Agenda 1 Set Operations and Relations 2 Venn Diagram Notes Notes
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Venn Diagrams; Probability Laws Set Operations and Relations Venn Diagram 2.3 Set Operations Intersection: the intersection of two sets A and B , denoted by ( A B ) , is the set that contains all elements of A that also belong to B AND Example: Let A = { 1 , 2 , 3 } and B = { 1 , 2 , 4 , 5 } , then A B = { 1 , 2 } Union: the union of two sets A and B , denoted by ( A B ) , is the set of all elements that belong to either A or B OR Example: Let A = { 1 , 2 , 3 } and B = { 1 , 2 , 4 , 5 } , then A B = { 1 , 2 , 3 , 4 , 5 } Venn Diagrams; Probability Laws Set Operations and Relations Venn Diagram 2.4 Example 8 Refer to Example 2, where we flipped 3 fair coins. Let A be the event of exactly 2 tails. Let B be the event that the first 2 tosses are tails. Let C be the event that all 3 tosses are tails. What are A B , A C , and ( A B ) C ? Solution. Notes Notes
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Venn Diagrams; Probability Laws Set Operations and Relations Venn Diagram 2.5 Logical Relationships among Sets Mutually exclusive: refers to two (or more) events
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