[tps_title]Statistics Interview Questions[/tps_title]
Your name is Mr. 10. You are standing in a field with 2 opponents – Mr. 30 and Mr. 60. Each of you has a gun and plenty of ammunition. Each of you in in clear sight of the others and well within firing range. The goal is to maximize the probability of survival. If you shoot at one of your opponents, you have a 10% chance of killing him. Mr. 30 has a 30% chance of killing whomever he shoots at. Mr. 60 has a 60% chance of killing whomever he shoots at. You take turns shooting in an pre-agreed to order. You shoot first, followed by Mr. 30 and finally Mr. 60. The 3 of you go through this order until one person is still standing. Who do you shoot at first?
