Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.1 - Propositional Logic - Exercises - Page 16: 46

Answer

The truth value of the statement “Fred and John are happy” is 0.4 The truth value of the statement “Neither Fred nor John is happy?” is 0.2

Work Step by Step

The truth value of the conjunction is the minimum of the truth values. In the first sentence they are 0.8 and 0.4, so their minimum is 0.4. In the second one they are 1 - 0.8 and 1 - 0.4, that is 0.2 and 0.6.
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