Let S be a sample space and E and F are independent events associated with S. Suppose that Pr(E)= 0.2 and Pr(F)= 0.7 i) Calculate Pr(E|F) ii) Calculate Pr(F|E) iii) Calculate Pr(E∩F) iv) Calculate Pr (E∪F)

Let S be a sample space and E and F are independent events associated with S. Suppose that Pr(E)= 0.2 and Pr(F)= 0.7 i) Calculate Pr(E|F) ii) Calculate Pr(F|E) iii) Calculate Pr(E∩F) iv) Calculate Pr (E∪F)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 2E

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Question

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Let S be a sample space and E and F are independent events associated with S. Suppose that Pr(E)= 0.2 and Pr(F)= 0.7

i) Calculate Pr(E|F)

ii) Calculate Pr(F|E)

iii) Calculate Pr(E∩F)

iv) Calculate Pr (E∪F)

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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