Re: A game strategy.

[Tim Folkerts <tfolkert@FHSU.EDU>]

> And what if Monty *always* opens a door and offers you the chance
> to switch but does so without knowing what is behind the doors?
> Then, 1/3 of the time he shows you a car and you win a goat no
> matter what you do.  The other 2/3 of the time you win a car with
> 50% probability whether you do or don't switch.  In other words,
> you win 1/3 of the time.  This is because Monty gives you no
> useful information.

If he shows you a car, why not switch to the car???  1/3 of the time you
automatically win.  If he shows you a goat (2/3 of the time), it doesn't,
you win 1/2 od 2/3 = 1/3.
So you win 2/3 of the time!

Tim