Using a sample space and Venn diagrams, show that: (a) Pr{A U B} = Pr{A} + Pr{B} – Pr{AOB} (b) Pr{A UBUC} = Pr{A} + Pr{B} + Pr{C} – Pr{AB} – Pr{B nC}- Pr{A O C} + Pr{A o BOC) %3D
Using a sample space and Venn diagrams, show that: (a) Pr{A U B} = Pr{A} + Pr{B} – Pr{AOB} (b) Pr{A UBUC} = Pr{A} + Pr{B} + Pr{C} – Pr{AB} – Pr{B nC}- Pr{A O C} + Pr{A o BOC) %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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![Using a sample space and Venn diagrams, show that:
(a) Pr{AU B} = Pr{A} + Pr{B} – Pr{AnB}
(b) Pr{AU BU C} = Pr{A} + Pr{B} + Pr{C} – Pr{A O B} – Pr{BnC}-
Pr{An C} + Pr{AOB C}
|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F959377f9-44cf-4148-9bf0-a2fe944bf6da%2Fdf04b70e-d2aa-4b50-9525-2e391e021e9e%2Feik9aq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using a sample space and Venn diagrams, show that:
(a) Pr{AU B} = Pr{A} + Pr{B} – Pr{AnB}
(b) Pr{AU BU C} = Pr{A} + Pr{B} + Pr{C} – Pr{A O B} – Pr{BnC}-
Pr{An C} + Pr{AOB C}
|
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