Explanation In probability, when some trial or a procedure is repeated infinite number of times and for which the output is uncertain, then it is known as an experiment. Consider the events E and F such that P E ∪ F = P E + P F − P E ∩ F . Substitute P E ∪ F = 1 in the equation. 1 = P E + P F − P E ∩ F 1 + P E ∩ F = P E + P F If the events E and F are complementary events, then P E + P F = 1

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

14th Edition

ISBN: 9780134677972

Author: Barnett

Publisher: PEARSON

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Chapter 8, Problem 54RE

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Whether the statement “If PE∪F=1, then E and F are complementary events” is true or false and also give explanation if the statement is true and example if the statement is false.

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Chapter 8, Problem 53RE

Chapter 8, Problem 55RE

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Chapter 8 Solutions

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

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Whether the statement “If P E ∪ F = 1 , then E and F are complementary events” is true or false and also give explanation if the statement is true and example if the statement is false.

Solution Summary: The author analyzes whether the statement "If P(Ecup F)=1, then E and F are complementary events" is true or false.