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Q1: An environmental group order some detection chips from a nanofabrication company. They want 9 different probes (A BCDEFG H I on the chip for their detection. The nanofabrication company links these 9 probes step by step and organized in a straight line. However, probe A functions only when probe B is nearby (meaning immediately to the left, right, top or bottom of it. Probes that are diagonally located are not considered nearby), and probe D functions only when probe C and E are nearby. Other probes work well without restrictions Suppose the nanofabrication company links 9 different probes in random order along a straight line. What is the probability that the chip is functional? What if they link the 9 probes in a 3 x 3 square dot matrix? 1. 2.

math   Statistics-And-Probability   
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