(con’t from here) Instead of choosing which PokΓ©mon shows up, the grass has its own secret rules:
β’If you just saw a Pikachu, the grass says: βNext time, there is a 50% chance you will see another Pikachu, and a 50% chance you will see a Bulbasaur.β
β’If you just saw a Bulbasaur, the grass says: βNext time, there is a 70% chance you will see Charmander, and a 30% chance you will see Pikachu.β
β’If you just saw a Charmander, the grass says: βNext time, you will always see Pikachu.β
Now the adventure begins. You meet a PokΓ©mon, and that decides the chances of who comes next.
Here is the cool part:
β’The grass does not care what happened ten steps ago.
β’It only cares about the PokΓ©mon you just met.
β’That is the whole βMarkov chainβ idea β the next step depends only on now.
So when you are wandering, it feels like a story: Pikachu β Bulbasaur β Charmander β Pikachu β Pikachuβ¦ and so on. It is a bit like the world is rolling dice behind your back, using rules that depend on the PokΓ©mon in front of you.
β’Pikachu has a 50/50 chance to stay Pikachu or switch to Bulbasaur.
β’Bulbasaur is most likely to lead to Charmander (70%), but sometimes goes back to Pikachu (30%).
β’Charmander always jumps straight to Pikachu.
So the arrows are the βsecret rulesβ of the tall grass!