Final video in the minesweeper series. Following comments to the previous video, I simulated more boards in search of more odd stuff: 8, 77, 3x3 mines, 8s in a shape of an 8. Boards with no zeros, no 1s, no 2s and boards that are solved in 1 click.

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Timecodes:
0:00 Intro
1:55 What about 9?
3:25 Beginner size?
5:13 Why simulate?
6:12 Are mines random?
6:47 Pseudo-random?
7:42 First click?
8:51 Other issues (3BV)?
9:33 Chance of 8
10:03 Chance of 3x3 mines
11:02 Chance of 77
11:29 Chance of 8s in the shape of 8
13:20 Chance of "no 2s"
13:50 Chance of "no 0s"
14:11 Chance of "no 1s"
14:30 Chance of 1 click game
15:59 Outro

Corrections:
1. Chance of 3x3 in Beginner. I ran a bigger simulation and it showed the result close enough to theoretical 76M. My concern was caused by poorly designed simulation (I told you it can happen!)
2. I ran better experiment with 2 8s too. The chance of two 8s, that are not "in the shape of 8" is actually a bit lower, around 1 in 1.7-1.8M. Which makes my finding even more fascinating. So it is slightly more probable to see "two 8s in the shape of 8" than "two 8s not in the shape of 8". Even more amazing!
Although it looks like I am the only one who didn't see that coming. You guys probably saw birthday paradox for the first time, and went "Duh!" :)

Previous Minesweeper videos:
- what's the chance of 8 in Minesweeper:    • What is the chance of getting the 8 i...  
- Python bot playing minesweeper:    • Python script beats Minesweeper in se...  

3D minesweeper: http://egraether.com/mine3d/beta/
4D minesweeper, if 3D's too easy for you (on Steam, free): https://store.steampowered.com/app/78...
(Thanks Hating Mirror for the tip)

Here's a Google Sheet with the basic probability formula for you to play with (it covers things like 8, 3x3, 77, 8in8): https://docs.google.com/spreadsheets/...