Three tanks fight a three-way duel. Tank A has probability 1/2 of destroying the

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. Find N Nc and NR and interpret your
results. Hint: Take as states ABC AC BC A B C and none indicating the
tanks that could survive starting in state ABC. You can omit AB because this
state cannot be reached from ABC.