During the very slow moments in which there's no job to do, Princess Luna has on occasion rather helpfully offered to appease your boredom by throwing random puzzles at you to occupy yourself until the next cretin/client comes knocking at the chamber doors. As it happens, on this occasion, Luna swings buy your chambers to inform you of a client, but rather than go through the usual process, the client has asked to see that you live up to the hype before letting you take on a case.
Intrigued, you follow Princess Luna to your office (well, throne room, but you need to relate it to something ordinary just to get through the day), where you see three ponies, sitting in a circle, on what looks like very comfortable chairs: your own personal chair doesn't look that comfy, which inspires some jealousy. Princess Luna then tells you that one of the ponies is your client, and your task is to identify that pony.
Luna introduces them as Azure Sky, Big Blue and Cirrus Spin: a team of pegasus ponies from the Wonderbolt Academy, and thrice winners of the not-at-all coveted Most Spectacular Crash Award. Flight deficiencies aside, you have a job to do. Luna then sets about explaining the puzzle.
She promptly blindfolds all three ponies, before slapping a silk scarf around your poor eyes, and then, from a box next to them (a box made from cardboard, the classic material for a reason) she pulls out three hats, which she arranges on their heads. She then turns to you, and explains.
Each pony is wearing a hat on their head, which is either white or black. The box started with two white hats and three black hats. You have been blindfolded, so you have no idea what colour hat each pony is wearing. She will then remove the blindfolds from the three ponies, and then ask, one at a time, if they know the colour of their hat. Your task is to listen to each pony's answer, and then deduce the hat colour of your client.
However, just to make things a little trickier, or perhaps easier, it's all a matter of perspective, she then informs you of a rather peculiar detail: one of the ponies is in fact completely color blind (which may explain why they won that award three times)! That colour blind pony is your client, and you need to announce both the name of your client and the colour of their hat, before any of the three do. They're also no slouch when it comes to logic either, so you gotta be on the top of your game for this. Being close friends though, Luna clarifies that all the ponies involved in this little game know who the colour blind pony is, which you're allowed to use in your answer.
Ready? Then Princess Luna will take off the blindfolds, and ask each one in a circle, starting with Azure Sky...
Thank you, why does nobody think of colorblindness when it comes to this
ok, so if azure is colorblind, he would say no first,and then Big looks and sees minimum 1 black, then says no(if both Azure and Cirrus have white, then Big knows they have black), cirrus now knows that either their hat and/or Azure is black,if azure is black then cirrus says no, and since cirrus sees a black on him he'd then call black, so Azure is not colorblind
If big is colorblind, azure would see minimum 1 black hat and say no, big then says no as he cant tell if cirrus wears black, cirrus determines either him and/or big is wearing black, sees black on big and says no, then azure says no as he saw the black on big and cant determine thier hat (so here we have big is colorblind and wears black)
If cirrus is colorblind, azure sees minimum 1 black and says no,big knows him and/or cirrus is black,sees black on cirrus and say no, cirrus knows big saw they had black and would call black
All in all, only the 2nd path works
I'm confused. Why is color-blindness being treated as an issue? Color-blindness only affects what colors someone can see among the RGB spectrum - even full achromatopsia still allows for grayscale vision. With only black and white (dark and not-dark) hats in play, the color-blindness shouldn't affect the ability of anypony to determine their hat color.
9290043
Oh, good eye. Sorry
9290413
No big. Also, love what you're doing with the MLP flavors of these puzzles. Very fun ^^
Wait, if he's color blind, doesn't that mean he shouldn't be allowed to fly?