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Topic: Open and Shut
Replies: 10   Last Post: Feb 4, 2013 10:50 PM

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Open and Shut
Posted: Feb 3, 2013 12:16 PM
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On Sat, 2 Feb 2013 20:13:47 -0800, William Elliot <marsh@panix.com>

>A subset A, of an ordered set is convex when
>for all x,y in A, for all a, (x <= a <= y implies a in A).
>I will call an interval an order convex subset of Q.
>Given an interval, what's the probablity that it's
> open, closed, both, neither?

That depends on what initial probability distribution
you put on the set of intervals.

>Given an open subset of Q, what's the probablity that it's clopen?
>Given an closed subset of Q, what's the probablity that it's clopen?

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