The Good, the Bad, and the Mathematician: Question
After a frightening expedition three fearless gunmen have reached their goal - they unearthed a map to "Over the Rainbow", where they will find everything they wanted all along.
The only way to decide who will receive this prize is with a three-way fight to death. The order of the three gunmen will be determined by drawing straws; they will each then take it in turns to make one shot until only one man remains.
The Good, being the sharpest draw in the west, will hit his target every time.
The Bad, with a less impressive but still formidable aim, hits 80% of the time.
The Mathematician is truly a fearless man, but unfortunately not the best shot, hitting only 50% of the time.
The Good and Bad will each adopt the strategy which gives them the highest chance of victory, shooting at each other until one is dead, then shooting the Mathematician.
What is the best strategy for the Mathematician to take?
Furthermore, what are the chances of victory for each man?
The only way to decide who will receive this prize is with a three-way fight to death. The order of the three gunmen will be determined by drawing straws; they will each then take it in turns to make one shot until only one man remains.
The Good, being the sharpest draw in the west, will hit his target every time.
The Good
The Bad, with a less impressive but still formidable aim, hits 80% of the time.
The Bad
The Mathematician is truly a fearless man, but unfortunately not the best shot, hitting only 50% of the time.
The Mathematician
The Good and Bad will each adopt the strategy which gives them the highest chance of victory, shooting at each other until one is dead, then shooting the Mathematician.
What is the best strategy for the Mathematician to take?
Furthermore, what are the chances of victory for each man?
posted by Eau at 1:05 pm
0 Comments:
Post a Comment
<< Home