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the points are randomly generated.....
so if each point can appear anywhere on the perimeter of the square.....
what is the probability that the center is bounded by the triangle. One way of thinking about this is that if you have 1000 such squares and triangles, in how many of these sets would you have the center bounded by the triangle??
This puzzle is solvable. I couldnt solve it, but i approximated an answer through a simulation. My professor found a relatively simple proof for this though.
keep plugging away.
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