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Q1: An environmental group order some detection chips from a nanofabrication company. nanofabrication company links these 9 probes step by step and organized in a straight line. when probe C and E are nearby. Other probes work well without restrictions. They want 9 different probes (A B CDEFGH I) on the chip for their detection. The However, probe A functions only when probe B is nearby, and probe D functions only 1. Suppose the nanofabrication company links 9 different probes in random order along a straight line. What is the probability that the chip is functional? 2. What if they link the 9 probes in a 3 x 3 square dot matrix?
math   Statistics-And-Probability   
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a prabes can be atran sged dn a straiaht line n Wos D funebiens onlj when and E ore nesrby รื่ D functions only when the arra

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GSe l Top row s CDE For one combination ot A ond l possible combinabions: AİB AİB AİB AİB Au these cembdnabtons ore posscblease Consider one deagon al to be CDE For one cembinatton of A ond S , oll Possible combinadions:-_ EB DIB BIE Au these cembdnabbons are possible For onother cembunadcon of A- ond B (Interchanging positions of A and B) Al these combinotions are possible when CDE ts the other dicgonol All these cembnons ore POssible Por EDC . Total no. of Possible cowbindtons = 6x2x2x2 48Case II For one cembinotien of A and oll possible AID DÍA CBE CA E Au these combdvnabdons Qre posscble fo onother cembinatconCose IX CD ïsorron ged as For one cembinatten of A and B > oll possible AID DIA BID DİB AIB BID DIB Au these cembövvabtons OrProbabili t that he chip o functional 176+48112128 a1 464 91 -29 22680

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