Logic Puzzles · Billy-B

Logic Puzzle #51

From Billy-B's legendary 1001 Puzzle Collection — preserved on Puzz.com since 1998.

Puzzle #51
You & I come across 3 people, & each 1 is a knight, knave, or normal (normals sometimes tell the truth, & sometimes lie). Exactly 1 of them is a knight, 1 of them is a knave, & the other 1 is a normal. They make the following statements: A. I love cats. B. C always tells the truth. C. A hates cats. If I bet you $20 that you could not correctly identify which 1 of these people is a knight, which 'horse' would you be wisest to bet on?
Reveal Answer
For the chart below, assume A = knave, I = knight, & O = normal — A B C A I O A O I I A O I O A O A I O I A The first condition & the last 2 conditions cannot occur because contradictions would occur. In 2 of the second, third, & fourth possibilities, the knight is A, the person who claims to love cats. You would be wisest to bet on A, as there is better than a 66% chance that that individual is a knight.

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