Here is a simulation of the Enrenfest's Urn stochastic model.
(If you have trouble running the applet,
see these notes.)
At each iteration, one of the balls is chosen uniformly at random, and
swapped to the opposite urn.
The "state" is the number of balls currently in Urn #1.
Does the state converge in probability to some distribution?
The applet accepts the following keyboard inputs. (You may need to
"click" on the applet first.)
-
Use the numbers '0' through '9' to set the animation speed level higher
or lower.
-
Use 'r' to restart the simulation.
-
Use '+' and '-' to increase/decrease the number of balls (and restart).
Applet by Jeffrey S. Rosenthal
(contact me).
See also my
Applets Page / Home Page