More likely actually*. The trick is people are using middle, to mean** ‘middle rooms, or close to middle rooms’, and are trying to riff off the central limit theorem or something.
*The actual probability depends on whether the grid has an even or odd number of columns/rows (and if it’s big enough that the middle and the border are different).
1 2 3
4 5 6
8 9 0
Odd both ways, probability of having a border room is actually a lot larger.
1234
5678
9012
3456
The ‘middle’ is larger for an even number of columns and rows. But the border is still bigger than the center. The bigger it gets, the more this is the case.
**Above this is clarified to something very different: middle as any ‘non-border room’.
More likely actually*. The trick is people are using middle, to mean** ‘middle rooms, or close to middle rooms’, and are trying to riff off the central limit theorem or something.
*The actual probability depends on whether the grid has an even or odd number of columns/rows (and if it’s big enough that the middle and the border are different).
1 2 3
4 5 6
8 9 0
Odd both ways, probability of having a border room is actually a lot larger.
1234
5678
9012
3456
The ‘middle’ is larger for an even number of columns and rows. But the border is still bigger than the center. The bigger it gets, the more this is the case.
**Above this is clarified to something very different: middle as any ‘non-border room’.