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BertrandsParadoxModel

Attempting to recreate models of Bertrand's Probability Paradox from Numberphile video https://youtu.be/mZBwsm6B280

I have yet to find the time or motivation to continue this. My interests have diverged. I'm stuck working out calculations for 1/4 and 1/2 probability models. How do I find the center point of a line drawn between 2 pionts and then draw a chord perpindicular to a line draw to the center of the circle? ...relearning trigonomotry while learning JavaScript...f***.