Either-or probabilities are found by adding the individual probabilities.
Do that for failure rates, then subtract from 1.
A certain type of artificial heart has four independent, critical components.Failure of any one of these components is a serious problem that will cause the artificial heart to fail. The 5 year failure rate for each component follows: component 1=.02, component 2=.05, component 3=.04, component 4=.03.
What is the probability that an artificial heart functions for 5 years?
I first solved for what is probability each component wont fail (1-probability will fail). Then multiply all probabilities that wont fail
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