SOLUTION: "Suppose a system can continue to operate successfully if one or both of its components do not fail. Suppose the probability of component #1 failing is .065 and the probability of

Question 453763: "Suppose a system can continue to operate successfully if one or both of its components do not fail. Suppose the probability of component #1 failing is .065 and the probability of component #2 failing is .045. Assuming the component failure is independent of any other component failing, determine the probability the system operates successfully."

I didn't get very far before getting stuck, but it looks like the system can operate with one or both components operating successfully. There are 4 possible outcomes of component operation:
1: Component #1 and Component #2 both work
2: Component #1 works, Component #2 does not work
3: Component #1 does not work, Component #2 works
4: Neither Component #1 or Component #2 work.
The first three circumstances are the only possible situations where the system will operate successfully. But I don't know what to do next...

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
.065*.045=.0029 Probability both fail.
1-.0029=0.9971 the probability the system operates successfully.
.
Ed
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