Shamelessly stolen from you-know-where.
this post was submitted on 25 Jun 2025
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I'm pretty sure the ball landed in
C3.
Albert is very sure that Bernard doesn't know either. Bernard would know the location if it was in 5 or 6, indicating to all of us that Albert was told a row that isn't A or B.
Now that Bernard can also deduce that it's not A or B, he's narrowed it down to one possibility. That means all of us now know it can't be column 1 either, because if it were, he wouldn't have gotten anything from that new fact.
Finally, now that column 1 is eliminated, Albert has deduced the location. Row D would've left two more possibilities, but row C leaves just one. Albert must know it is in row C.
For the rest, well, there isn't even actually a question, I suspect you'd open a door and pick a box and hope that you've got a gold ball to pick, and it's not clear that he's following Monty Hall rules and always opening a bad door, but I think knowing which ball got thrown would make the rest of the odds fall into place.
Whenever I see a badly-specified Monty Hall Problem, I always imagine the host saying something like "Oh, you want to pick door number 1? Well, guess what - the car was behind door number 3 all along! You get nothing but a goat!" And only when you initially pick a door with the car does the host ask "Are you sure you wouldn't rather switch to door number 2? Look, there is even a goat behind door number 3!" Switching doors 100% gurantees you get a goat... or 50% silver balls in this case.