You have a perfect square... at the exact center lies a point, P.
You then randomly select three points along the perimeter of the square, which form a triangle. What is the probability that P will lie inside of this triangle?
edit: I guess we can assume that the three points won't fall along the same side (which would happen 1/16 of the time), or perhaps we have to count that as a "triangle that doesn't contain P" and have 1/16 at least be NO, but it's not even a triangle. So do whatever is easier for your method of solution: counting that 1/16 chance as one of the triangles that don't surround P, or assume that a re-randomization will take place if that occurs. It's up to you
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unreality
You have a perfect square... at the exact center lies a point, P.
You then randomly select three points along the perimeter of the square, which form a triangle. What is the probability that P will lie inside of this triangle?
edit: I guess we can assume that the three points won't fall along the same side (which would happen 1/16 of the time), or perhaps we have to count that as a "triangle that doesn't contain P" and have 1/16 at least be NO, but it's not even a triangle. So do whatever is easier for your method of solution: counting that 1/16 chance as one of the triangles that don't surround P, or assume that a re-randomization will take place if that occurs. It's up to you
Edited by unrealityLink to comment
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