Premium Only Content
4 hat #riddle
The explanation
As vexing as it might seem, the “four hats” riddle can be solved using the process of elimination. And two of the prisoners (prisoners A and B) can be eliminated right off the bat. That’s because neither can see any of the other prisoners, so neither possesses any information with which to make an educated guess.
That leaves just prisoners C and D.
Prisoner D might seem the obvious choice because he can see the hats of both prisoners C and B in front of him, whereas prisoner C can see only the hat of prisoner B. Indeed, if prisoners B and C were wearing the same color hat, then prisoner D would have known immediately that he was wearing the other color. However, in this scenario, prisoners B and C are wearing different colored hats. Seeing this, prisoner D, in effect, has no more information than prisoners A and B. Accordingly, he too is left in the position of being unable to make an educated guess.
As for prisoner C, prisoner D’s silence is all the information he needs. Had prisoner C and prisoner B been wearing the same color hat, prisoner C surmises, then surely prisoner D would have piped up with the answer already. Accordingly, at the end of the 10 minutes, prisoner C deduces that he and prisoner B must be wearing different color hats. And since prisoner C can see that Prisoner B is wearing a white hat, then prisoner C knows that he must be wearing a black hat.
The answer
Prisoner C (who calls out that he is wearing a black hat).
-
LIVE
Power Slap
10 days agoPower Slap 10: The Bell vs Perez | Friday December 6th at 9pm ET/6pm PT
46,351 watching -
LIVE
Fresh and Fit
4 hours agoHawk Tuah Girl EXPOSED For Making MILLIONS Off Crypto Rug Pull
5,630 watching -
1:31:29
Glenn Greenwald
6 hours agoAppellate Court Upholds TikTok Ban; SCOTUS Trans Case & Advocacy Groups' Perverse Incentives; System Pupdate: Toby's Rescue Story | SYSTEM UPDATE #377
39.4K70 -
13:42
Stephen Gardner
5 hours ago🔥Biden drops NIGHTMARE news on OWN PARTY | Tucker Carlson tries to prevent WAR!
64.6K297 -
Dr Disrespect
11 hours ago🔴LIVE - DR DISRESPECT - OG FORTNITE - DOUBLE PUMP BLASTS
309K123 -
4:58:05
Nerdrotic
7 hours ago $27.76 earnedHBO Harry Potter DOA? War of the Rohirrim COPE, Doctor Who CRINGE | Friday Night Tights 331 Dan Vasc
96.1K14 -
8:19
BIG NEM
22 hours agoMeet the Iranian Comedian Who's Taking Over the World. 👀
21.2K2 -
1:14:29
Edge of Wonder
8 hours agoWho Was the UnitedHealthcare CEO? Plus Ancient Cryogenics & New Jersey UFO
21.5K5 -
1:07:41
Sarah Westall
4 hours agoTrump Appointees Trigger Panic, Will the Wars Continue? BRICS Power Play w/ Harley Schlanger
25K3 -
2:01:28
2 MIKES LIVE
7 hours ago2 MIKES LIVE #152 w Special Guests Adam Derito and Robert Scott Bell!
17.2K1