Proportion of time in the long run for marksman shoots

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Three marksmen take turns shooting at a target. Marksman 1 shoots 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, that each marksman shoots.

Reference no: EM13103887

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