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Unformatted text preview: Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Lecture 5 Chapter 2: Introduction to Probability Michael Akritas Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Events and Set Operations Continued Axioms and Properties of Probability Independent Events Independence of two events Independence of multiple events Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s I Die C: four 2s and two 6s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s I Die C: four 2s and two 6s I Die D: three 5s and three 1s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s I Die C: four 2s and two 6s I Die D: three 5s and three 1s Specify the events A > B , B > C , C > D , D > A . Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s I Die C: four 2s and two 6s I Die D: three 5s and three 1s Specify the events A > B , B > C , C > D , D > A . Find the probabilities that A > B , B > C , C > D , D > A . Michael Akritas Lecture 5 Chapter 2: Introduction to Probability Outline Events and Set Operations Continued Axioms and Properties of Probability Independent Events Example (Efron Dice) I Die A: four 4s and two 0s I Die B: six 3s I Die C: four 2s and two 6s I Die D: three 5s and three 1s Specify the events A > B , B > C , C > D , D > A ....
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This note was uploaded on 03/19/2009 for the course STAT 401 taught by Professor Akritas during the Spring '00 term at Pennsylvania State University, University Park.
 Spring '00
 Akritas
 Probability

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