A blog on a home-education project on probability started when Julius was 12 at the beginning of the coronavirus epedimy and we were thinking a lot about statistics. The central limit theorem section was added when Jonathan prepared for AP Statistics.
We started by choosing a game that is played by rolling two dice such as backgammon or the settlers of Catan. The aim is to have fun and to learn that not all values are equally likely. Moreover, knowing something about probabilities can help to build a strategy for the game.
- Expected Values
- The Law of Large Numbers
- Central Limit Theorem
- Sampling Distribution of Sample Proportion
Potential applications of statistics (to be continued when the opportunity arises):
- The Game of Go
- Alpha Zero
- Monte Carlo Methods