Sunday, October 08, 2006

Math to Wow Your Friends - Part 3

There is an island containing two types of people:

knights who always tell the truth and knaves who always lie.

You visit the island and are approached by two natives who speak to you as follows:

A says: B s a knight.

B says: A and I are of opposite type.

What are A and B?

answer coming Tuesday...


Frank. said...

There are four possible scenarios. I’ll use T & L for truth tellers and liars. So if both A & B are Ts then A’s statement would be true, but B’s would be false. Trying both A & B as Ls then A statement would be true because it is a lie and the same would hold for B so they both are knaves. QED

jen said...

Fun, fun, fun.

KK said...

And Frank is correct!