Raul Miller wrote:

> What are the odds that any given quadrilateral is
> not concave?

I think the answer will vary according to how big the quadrilaterals can
be, and whether you are considering orientation.

My initial thought is this: Draw the first 3 sides A->B->C.  Let D be the
other vertex.  Then ABCD is convex iff D lies on the opposite side of the
line AC from B.  This gives probability at least 1/2 for your question.

Best wishes,

John


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