Monday, November 02, 2009

The Five Cap Puzzle

There are five caps. Two of them are white and three of them are black. Three women are sitting one behind the other such that the first one cannot see the two behind her, the second one can see the one in front of her but not the one behind her and the last one can see both women in front of her.

The caps are randomly put on the heads of these women such that none of them can see what cap went where. Of course, once the caps are put, they can see the cap on the head of the woman/women in from of them. That is, the first one cannot see any, the second one can see one in front of her and the last one can see both in front of her. Also, they can't see what cap is on their own head.

The last one is then asked if she knows what colored cap is on her head. She says no. The second one is then asked if she knows what colored cap is on her head. She says no too. The first one is then asked the same question. She says yes and is able to tell the color of the cap on her head.

How and which color?

Solution.

4 comments:

  1. @Khalil - Nah, I don't. Just posted what my friends said.

    ReplyDelete
  2. @Khalil - It's correct. I'll add it to the solutions post.

    ReplyDelete