Phil says: 3. If P2 can see that P3 is wearing a red hat, knowing that P1 must see a white hat, P2 would know that he is wearing a white hat. See why #2 only needs one eye? Sure he can see both #1 and #3 with the same eye. But all he needs to see is #3. If he doesn't see a red hat there, he cannot know what's on his own head. That's why when #3 hears #2 say I don't know, he knows exactly what color he's wearing. Piece of cake! Lloyd Mitchell ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html