Problem 331. Compute Area from Fixed Sum Cumulative Probability
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A really nice problem : concrete origin, careful formulation, then a good walk in 3D geometry, analysis, integration and at the end a single formula. The critical value cuts the triangle in four pieces : my son said it was Zelda !
Raphael: I agree completely!
Perhaps you could have a precision requirement a bit more liberal in order to allow numerical approximation algorithms or other approaches as well? just my two cents, the problem looks great
Tip: the probability grows from the vertices of simplex (triforce/triangle) toward its center (which has the highest frequency).
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