Mr. White, Mr. Brown, and Mr. Black have agreed to a dual with pistols but with a twist. Mr white is a poor shot, only gets one in three targets, Mr Brown, is better, he gets 2 out of three targets he aims at. Mr. Black on the other hand, is a super good shot, 100%. He is deadly.
The dual is to proceed as follows: They will each get a shot, and at the end, the one still alive is the winner. If after the first round, there are two or more standing, they continue in likewise fashion, one shot at a time in succession till only one dualist is left standing. The question is this: Since Mr White, the poor shooter, gets the first shot, Mr. Brown, being better than Mr white but not as good as Mr. Black, gets the second shot and Mr. BLack gets the third shot. In order for Mr. White to maximize his chances of survival, given that he gets the first shot(they only get one shot at a time), who should he aim at first?