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A communication system consists of n antennas of which m are defective and n-m are functional....

A communication system consists of n antennas of which m are defective and n-m are functional. Suppose the n antennas are indistinguishable and are lined up in a linear array. The system is called functional as long as no two consecutive antennas are defective. Suppose we randomly line up the n antennas. What is the probability that the resulting system will be functional?

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