All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Bet Brood (Posted on 2014-03-06) Difficulty: 2 of 5
On a certain island precisely one-third of the native people are liars who always lie, one-third are knights who always tell the truth, and one-third are knaves who strictly alternate between a truth and a lie (albeit not necessarily in this order) . The chances of encountering any one of the three types on the island are the same.

Frank, who is a traveler comes across three natives-Abe, Ben and Cal. It is known that exactly one of them is a knight, precisely one of them is a liar and the remaining is a knave (albeit not necessarily in this order.)

They say:

Abe: I love cats.
Ben: Cal always tells the truth.
Cal: Abe hates cats.

If someone bets Frank $20 that he can not correctly identify which one of these people is a knight, which of the three natives will be wisest for him to bet on?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutiontomarken2014-03-06 10:08:57
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information