I'm interested in the probability that two intervals selected "at 
random" from among those that satisfy the constraints will intersect.

"At random" here means that the intervals satisfying the constraints 
follow an uniform distribution.

Any comments, hints or references to similar problems are appreciated,

Cristian Saita

Ian Jermyn wrote:
> It is not clear, to me anyway, whether you want:
> 
> 1) The probability that two intervals chosen "at random" will have lengths
> within the chosen constraints and will intersect; or
> 
> 2) The probability that two intervals chosen "at random" from among those
> that satisfy the constraints will intersect.
> 
> Ian.

.
.
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