On 26 Nov., 05:33, Bill Taylor <w.tay...@math.canterbury.ac.nz> wrote:
> It is an interesting problem in probability generating functions > to work out the individual proabilities for each ball, > and the expected number, left in the pot at the end!
Here is another interesting task: Use balls representing the positive rationals. The first time fill in one ball. Then fill in always 100 balls and remove 100 balls, leaving inside the ball representing the smallest of the 101 rationals. If you get practical experience, you will accomplish every Centuria in half time. So after a short while you will have found the smallest positive rational.
Instead of 100 balls you can use only 80 balls as well. The Romans also used to have 80 men in a Centuria- --- That pointed already to the final period of the empire.
Of course the game is only possible, if there is an actual infinity waiting to be finished. --- And that points to the final period of mathematics.