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sports club A has 3 alternative team lineups, A1,A2 and A3. club B also has 3 alternative lineups,B1,B2 and B3.making an application forr contest,neither of the clubs knows which of the alternatives its opponent will select.the probability of club A winning with different alternative lineups of the club teams,which are approximately known from the experience of past matches,are given by matrix. find with what frequency the clubs should use each of the lineups in matches against each other to score largest average number of victories
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