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Suppose a particular system in a space vehicle must work properly in order for the vehicle to gain reentry into the earth's atmosphere. One component

Suppose a particular system in a space vehicle must work properly in order for the vehicle to gain reentry into the earth's atmosphere. One component of the system operates successfully only 80% of the time. To increase the reliability of the system, four such components are installed in such a way that the system will operate successfully if at least one of the components is working. What is the probability that the system will fail?

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