Mr. Black, Mr. Gray, and Mr. White are fighting in a duel.
They each get a gun and take turns shooting at each other
until only one person is left.
Mr. Black, who hits his shot 1/3 of the time, gets to shoot first. Mr. Gray, who hits his
shot 2/3 of the time, gets to shoot next, assuming he is still alive. Mr. White, who hits his shot all the time,
shoots next, assuming he is also alive. The cycle repeats.
If you are Mr. Black, where should you shoot first for the
highest chance of survival?