b.lect5 - Outline Events and Set Operations Continued...

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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
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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
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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
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Die C: four 2s and two 6s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Die C: four 2s and two 6s Die D: three 5’s and three 1’s Michael Akritas Lecture 5 Chapter 2: Introduction to Probability
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Die C: four 2s and two 6s Die D: three 5’s and three 1’s Specify the events A > B , B > C , C > D , D > A . Michael Akritas Lecture 5 Chapter 2: Introduction to Probability
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Die C: four 2s and two 6s Die D: three 5’s and three 1’s 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
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Outline Events and Set Operations – Continued Axioms and Properties of Probability Independent Events Example (Efron’ Dice) Die A: four 4s and two 0s Die B: six 3s Die C: four 2s and two 6s Die D: three 5’s and three 1’s Specify the events A > B , B > C , C > D , D > A . Find the probabilities that A > B , B > C , C > D , D > A .
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