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SECRET TRUEL CONUNDRUM

A truel is similar to a duel except there are three participants rather than two. One morning Mr Black, Mr Grey and Mr White decide to resolve a conflict by truelling with pistols until only one of them survives. Mr Black is the worst shot, hitting his target on average only one time in three. Mr Grey is a better shot, hitting his target two times out of three. Mr White is the best shot, hitting his target every time. To make the truel fairer, Mr Black is allowed to shoot first, followed by Mr Grey (if he is still alive), followed by Mr White (if he is still alive), and round again until only one of them is alive. 

The question is this: where should Mr Black aim his first shot?   

Email me the correct answer (one go only) and I will give you £100 off my Prunella Clough Red Landscape.

Dominic