Log In

A betting game

Posted on: June 23rd, 2013 by
Comments Disabled

There are two urns. Each urn initially contains $1.
You keep throwing dollars into the urns 1 dollar at a time, until the 2 urns together contain 1 million dollars. Except, you bias the probability as follows:
Suppose urn 1 contains $a and urn 2 contains $b, then the extra urn goes to urn 1 with probability a/(a+b). Thus the urns are slightly magnetic, the urn with the larger number of dollars is more likely to attract the extra dollar.
The question is, how much is the urn with the smaller amount of dollars worth?
Another question is, what is the probability distribution of money in the smaller urn after the process?

- via Peter Winkler's lecture on youtube

Comments are closed.

{"result":"error", "message":"You can't access this resource as it requires an 'view' access for the website id = 1."}