involving events E, F, and G in a sample space S. Assume that Pr[E]=0.65, Pr[F]=0.45, Pr[G]=0.5, Pr[E∩F]=0.3, Pr[E∩G]=0.35, and Pr[F∩G]=0.3. Find the following probabilities: (1) Pr[E∪F]= (2) Pr[F′∩G]= (3) Pr[E′∩G′]=

involving events E, F, and G in a sample space S. Assume that Pr[E]=0.65, Pr[F]=0.45, Pr[G]=0.5, Pr[E∩F]=0.3, Pr[E∩G]=0.35, and Pr[F∩G]=0.3. Find the following probabilities: (1) Pr[E∪F]= (2) Pr[F′∩G]= (3) Pr[E′∩G′]=

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

involving events E, F, and G in a sample space S. Assume that Pr[E]=0.65, Pr[F]=0.45, Pr[G]=0.5, Pr[E∩F]=0.3, Pr[E∩G]=0.35, and Pr[F∩G]=0.3. Find the following probabilities:

(1) Pr[E∪F]=

(2) Pr[F′∩G]=

(3) Pr[E′∩G′]=

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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