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