Boyko Bantchev wrote:
> 2008/12/10 John Randall <[EMAIL PROTECTED]>:
>> 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.
>
> ABCD will still be concave if D is, e.g., on the opposite side of BC from
> A.

My initial thought was not so good.  I'll leave it to Henry and Boyko to
sort it out.

Best wishes,

John

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