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If events A and B are independent, then P(A U B) = 0. True or false?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

If events A and B are independent, then P(A U B) = 0. True or false?

Expert Solution

Step 1

Introduction:

If the occurrence of 1 event has no pertaining to the likelihood that the opposite also will occur, then the 2 events are independent. The likelihood of both A and B happening is adequate for the sum of the chances of A and B, which is how mathematics expresses the independence of events A and B.

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