# Chapter 4 - Probability - 4-5 Multiplication Rule: Complements and Conditional Probability - Basic Skills and Concepts: 29

a) 0.9996 b)0.999992

#### Work Step by Step

a) We can use the multiplication rule: P(at least one doesn't fail):1-P(both fail) =$1-0.02^{2}=0.9996.$ b) We can use the multiplication rule: P(at least one doesn't fail):1-P(all three fail) =$1-0.02^{3}=0.999992.$

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