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# Three marksmen take turns shooting at a target.

Three marksmen take turns shooting at a target. Marksman 1shoots until he misses, then marksman 2 begins shooting until hemisses, then marksman 3 until he misses, and then back to marksman1, and so on. Each time marksman i fires he hits the target,independently of the past, with probability P i,i=1,2,3.Determine the proportion of time, in the long run, thateach marksman shoots.