It's nice to meet you Luke. [Humming softly at the puzzle she rubs her chin as she thinks it out.]

Now...hm, if Red-hat is speaking to Mr. Green that means Mr. Green's hat must be white since the red-hat is already accounted for so Mr. Red...would be wearing a green-hat which reveals the red-hat owner to be Mr. White...?

[That makes sense right? She didn't fuddle anything?]