captaincanoe

How is it better to prevent the computer from safely see around the corner almost all the time only because mud will prevent it some of the time, but allow the human to continue driving while never being able to safely see around the corner?

If each prisoner randomly labels the boxes in their own (presumably independent) manner, then this strategy fails miserably. In fact, it's equivalent to each prisoner choosing 50 random (unique) boxes.

The solution specifies that "the prisoners must first agree on a random labeling of the boxes by their own names." This is necessary.