# A Southwest Energy Company pipeline has 3 safety shutoff valves in case the line springs a leak. These valves are designed to operate independently of one another. There is only a 7% chance that valve 1 will fail at any one time, a 10% failure chance for valve 2, and a 5% failure chance for valve 3. If there is a leak, find the following probabilities:  that all three valves fail

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A Southwest Energy Company pipeline has 3 safety shutoff valves in case the line springs a leak. These valves are designed to operate independently of one another. There is only a 7% chance that valve 1 will fail at any one time, a 10% failure chance for valve 2, and a 5% failure chance for valve 3. If there is a leak, find the following probabilities:

1. that all three valves fail
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Step 1

Given that there is a 7% chance that valve 1 will fail, a 10% chance that valve 2 will fail, and a 5% chance that valve 3 will fail.

That is,

Probability that valve 1 will fail i...

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