Is there any better explanation on the multiplication rule of probabilities? I didn't understand the "with/without replacement" or the "cumbersome 5% rule."

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 60E: Explain the Multiplication Property of Probabilities.
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Is there any better explanation on the multiplication rule of probabilities? I didn't understand the "with/without replacement" or the "cumbersome 5% rule." 

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