That's the idea. You've been quite generous with the number of questions, but I'd like to focus on just a few potential boxes.

[ It shouldn't use too many of her questions to figure out what color the box is, and from there, she can ask more directed questions to try to narrow it down further. But if nothing else, that'll leave her with a 25% chance of picking the correct box even at random. ]

Does the coloring of the box contain green or red, then?