If two components with a failure probability 0.1 each operate in series, what is the probability the system fails?

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Multiple Choice

If two components with a failure probability 0.1 each operate in series, what is the probability the system fails?

Explanation:
In a series configuration, the system fails if any component fails. Each component has a 0.1 chance of failure, so the chance a component works is 0.9. Assuming the failures are independent, the probability both components work is 0.9 × 0.9 = 0.81. Therefore, the probability the system fails is 1 − 0.81 = 0.19, or 19%.

In a series configuration, the system fails if any component fails. Each component has a 0.1 chance of failure, so the chance a component works is 0.9. Assuming the failures are independent, the probability both components work is 0.9 × 0.9 = 0.81. Therefore, the probability the system fails is 1 − 0.81 = 0.19, or 19%.

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