Question: Consider a system in which 6 identical, independent components are stacked in parallel, and the system works if one or more of the components

Consider a system in which 6 identical, independent components are stacked in parallel, and the system works if one or more of the components is functioning. Label the components "C1", "C2", ..., "C6". Suppose that each component functions properly with probability 0.9. Find the conditional probability that component C1 is functioning given that the system is functioning.

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