[PeterD]

On 5/20/2011 8:49 PM, Bill Graham wrote:

Suppose for the moment that there are two contestants. One picks door
two, and the other picks door one. Then the moderator opens door three
and shows everyone that there is a donkey behind that door. Now, will it
make any difference if the other two switch their initial picks or not?
And, if they do swap doors, with they both enjoy a 2/3 chance of winning?

This is called the Monty Hall problem. And yes, switching does change
the probabilities of winning, and this can be proved with a simple
computer program. I use this in both my math classes when we cover
probabilities, and in my programming classes.

--
I'm never going to grow up.