User blog:MachineGunSuper/Fun Problem

Here's the problem:

Imagine that you had a mini robot that could write numbers that took no more than 1 cm in space

Imagine that you had an A4 paper

Rules:

The robot could write any number anywhere. After he has written his first number, he can go anywhere, but he is more attracted to go towards his numbers. If he lands on a number that he wrote, these are the rules: If it's an odd number, he changes it to an even one Vice versa If it's a number with more than 2 digits, he has to erase all of them and leave 2, which he will use to make a 2 digit number.

The questions:

How many numbers can possibly be written?

After how much time will all the numbers be even/odd 

'''If you are asking what is the chance that it will be attracted to the numbers it wrote? You only said that there's a bigger chance.'''

Well, here's the deal: You can play as many games as you want, each time having a bigger chance  to go towards it's numbers.

Eg: The first game it has a 51% chance

The second game it has a 52% chance

.......

The last game it has a 99% chance