Brain Teasers Optical Illusions Puzzle Hunts Codes & Ciphers Mechanical Puzzles
Personal Links
Browse Teasers
Search Teasers

The Truel

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#22672
Fun:*** (2.83)
Difficulty:*** (2.38)
Category:Probability
Submitted By:brianz****
Corrected By:eighsse

 

 

 



Mr. Black, Mr. Gray, and Mr. White are fighting in a truel. 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. All three competitors know one another's shooting odds. If you are Mr. Black, where should you shoot first for the highest chance of survival?





What Next?

  
  

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.

 






Back to Top
   


Online Now
13 users and 649 guests

Users In Chat
autumn
Follow Braingle!
Tap into all 20,000+ of our brain teasers, riddles and puzzles on your iPhone or iPad.
Braingle in the iTunes App Store
Copyright © 1999-2017 | FAQ | Widgets | Links | Green | Subscribe | Contact | Privacy | Conditions | Advertise | Braingle Time: 3:58 pm
Sign In Create a free account