Solving Tsirelson’s problem
Alice and Bob are on a game show. They each sit in isolation booths at either ends of the set and can’t communicate in any way. The game show host asks a number of questions. Neither knows what questions are being asked, or the answers the other gives. The judges are shocked that they provide the exact same answer more often than they should. From the judges’ perspectives, Alice and Bob appear to read each others’ minds.