Wed
Feb
9
Tuesday Teaser #28
Back to good old probability this week.
Suppose you’re a cyborg in a pistol duel with two other cyborgs. Unfortunately, you’ve only been programmed to fire pistols with an accuracy of 33%. The other two cyborgs shoot with accuracies of 50% and 100%, respectively. The rules of the duel are one shot per-cyborg per-round. The shooting order is from the worst shooter to the best shooter. Thus you go first, the 50% cyborg goes second, and the 100% cyborg goes third. This order is then repeated until only one cyborg is left standing. If a cyborg dies, their turn is skipped.
What should you shoot at in the first round to maximize your chances of survival?
