Three brands of coffee, X, Y, and Z, are to be ranked according to taste by a judge. Define the following events: A: Brand X is preferred to Y. B: Brand X is ranked best. C: Brand X is ranked second best. D: Brand X is ranked third best. If the judge actually has no taste preference and randomly assigns ranks to the brands, is event A independent of events B, C, and D?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 1C
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Three brands of coffee, X, Y, and Z, are to be ranked according to taste by a judge.
Define the following events:
A: Brand X is preferred to Y.
B: Brand X is ranked best.
C: Brand X is ranked second best.
D: Brand X is ranked third best.
If the judge actually has no taste preference and randomly assigns ranks to the
brands, is event A independent of events B, C, and D?
Transcribed Image Text:Three brands of coffee, X, Y, and Z, are to be ranked according to taste by a judge. Define the following events: A: Brand X is preferred to Y. B: Brand X is ranked best. C: Brand X is ranked second best. D: Brand X is ranked third best. If the judge actually has no taste preference and randomly assigns ranks to the brands, is event A independent of events B, C, and D?
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