[Avodah] Kavua and Monty Hall

[Yosef Gavriel Bechhofer]

In a totally different note, it struck me yesterday that perhaps kol
kavua k'mechtza al mechtza dami has something to do with the "Monty
Hall Problem"
<http://en.wikipedia.org/wiki/Monty_Hall_problem>
<http://www.marilynvossavant.com/articles/gameshow_print.html?t=64>
- but I can't articulate it. Can you help me out by either explaining
why I'm right or why I'm wrong?

This may help (siman 47):
<http://www.hebrewbooks.org/pdfpager.aspx?req=15107&hilite=d623c4b3-f194-43dd-bc10-b818c3f696e5&st=%D7%A7%D7%91%D7%95%D7%A2&pgnum=92>
or <http://bit.ly/aDQduJ>

Thanks!
KT,
YGB