Enigma 1190: Triple duel
7 December 2015
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From New Scientist #2346, 8th June 2002 [link]
In an earlier incarnation, George fought a “duel” with Ernest and Fred. Ernest was a crack shot, 100 per cent certain to hit his target. Fred had a 75 per cent chance and George only 60 per cent. They agreed to fire one shot at a time in rotation, George (the weakest shot) first, then Fred, then Ernest, until two were dead. Each could aim where he pleased.
If each adopted his best strategy, who was most likely to survive and what was his percentage chance of survival?