Note: In the video, I assumed that a and b are at most 35. If we allow a and b to be 36, we also obtain the pair (a, b) = (18, 36). This means that player B must win on their first roll, and player A has a 1/2 probability of winning on the first roll. Although this is also a fair scenario, where both players have a 1/2 probability of winning, I excluded this case so that the setting of taking consecutive rolls is meaningful.
![Why you didn't learn tetration in school[Tetration]](http://i.ytimg.com/vi/Ea1_1aVfwl4/mqdefault.jpg)
![Why you didn't learn tetration in school[Tetration]](/img/tr.png)
Note: In the video, I assumed that a and b are at most 35. If we allow a and b to be 36, we also obtain the pair (a, b) = (18, 36). This means that player B must win on their first roll, and player A has a 1/2 probability of winning on the first roll. Although this is also a fair scenario, where both players have a 1/2 probability of winning, I excluded this case so that the setting of taking consecutive rolls is meaningful.
2 Problems?! It must be Christmas🎄!
Another mathematical classic
keep 'em comin' !