I sort of understood the addition rule of probabilties, but cannot apply it. Any better explanation on this matter?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2RP: A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and...
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I sort of understood the addition rule of probabilties, but cannot apply it. Any better explanation on this matter?

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Can you give an example with real numers and theintersection unknown?

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