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.
it’s not clear that he’s following Monty Hall rules
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.
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.