Chapter 4 - Probability - 4-5 Multiplication Rule: Complements and Conditional Probability - Basic Skills and Concepts - Page 174: 29

a) 0.9996 b)0.999992

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) =$1-0.02^{3}=0.999992.$