Hello! How are you? I'm alright...I have this Math POW to do and I am having problems with it, well my whole math class is...so my teacher said that we could get help anywhere so i decided to come here. :) Well here is the problem: A teacher made a deal with 3 of his students. He said that if you can guess what color hat you have on your head without looking, I will pass you. There were 2 red hats and 3 blue hats. The deal worked like this: The three students would close there eyes, and the teacher would put a hat on each of their heads and then hide the other 2. Then one at a time, the students would open their eyes and try to figure out what color hat was on their head. The student could guess or pass. This is what happened when they put their deal to the test: A boy named Arturo was first and opened his eyes but wasn't sure so he passed so he didn't get it wrong. Belicia was next and she passed too because she wasn't sure. Also she thought about the fact that Arturo didn't know. Carletta was last and without even opening her eyes, she knew for sure what color hat she was wearing and her answer was right. So i have to figure out what color hat she's wearing for sure. I think that she is wearing a blue hat but i have to know for sure and how to get to it.That's the part where i have problems: how to get there. Any help is good and i need it by like monday.... i think so thank you! Kristin:)

Arturo, Becilia and Carletta knew that there were 2 red and 3 blue hats to start with.

So, if Arturo had seen red hats on Becilia and Carletta, he would have known for sure that his own hat was blue.

But he didn't see that, so he passed.

Becilia and Carletta heard Arturo say that he passed. So by now, even before opening their eyes, they knew that at least one of them (perhaps both) must be wearing a blue hat.

So, when Becilia opened her eyes, she looked at Carletta's head. She knew that if she saw a red hat there, then it would mean that for sure that her own hat was blue.

And then, what happened?