Three tanks fight a three-way duel. Tank A has probability 1/2 of destroying the tank at which it fires, tank B has probability 1/3 of destroying the tank at which it fires, and tank C has probability 1/6 of destroying the tank at which it fires. The tanks fire together and each tank fires at the strongest opponent ,not yet destroyed. Form a Markov chain by taking as states the subsets of the set of tanks. Required:
Find N, Nc, and NR, and interpret your results.