I've never seen the Monty Hall problem presented with that stipulation explicit.
Funny, I've always seen it explicitly stated that the host knows and will not open the door with the car. If it wasn't this way, he'd open the door with the car 1/3 of the time. A quick google search seems to confirm this, though I only checked the first 4 links that weren't applets. The extra information Mr. Hall provides is what makes the puzzle worth puzzling ;)

Update: strike off the cuff response... By the way (after a quick read and next to no analysis) the spooky math problem looks more like a divide-by-an-infinite-number problem. The probability that you pick a number between two numbers in an infinite continuum is undefined.

In reply to Re^4: Marilyn Vos Savant's Monty Hall problem by bmann
in thread Marilyn Vos Savant's Monty Hall problem by mutated

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.