I simultaneously toss three standard dice.
I get 3 numbers, 1 to 6, not necessarily distinct.
Evaluate the probability that these numbers can represent sides of a triangle.
(In reply to re(4): Solution
The figure realized by connecting three noncollinear points by line segments.
If we agree upon the above mathemati\cal definition of a triangle as most of the textbooks do , then there is no such an animal as zero area triangle.
If someone still wants to extend the probability problem and find out what happens when his "extended definition" is used - nothing wrong with it
We may research a vast variety of triangle subsets like scalene triangles or equilateral tyriangles etc., but that was not the subject of the original post.