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The chance that a factory's sprinkler system will fail is 20%; the chance that its alarm...

The chance that a factory's sprinkler system will fail is 20%; the chance that its alarm system will fail is 10%; and the chance that both will fail is 4%. What is the chance that:

a. At least one will work?

b. Both will work?

(My question - For b. is the answer .72, .28 or .04? Those were the answers I got, and am not sure which one is the right one. Can you tell me what the answer is, and please explain how you got thank answer. Thank you)

Math   Statistics-And-Probability   
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