\(n\) Points

Discrete Mathematics Level 3

\(A\),\(B\),\(C\) and \(D\) are the vertices of the rectangle.

Let \(n\geq 1\) point(s) be marked on the rectangle in such a way that there are no 3 collinear points.

3 points are chosen at random.

What is the probability of forming a triangle where point \(B\) isn't one of the vertices?


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