Problem 226. What are the odds?

Created by Matt Fig

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Two numbers, A and B are drawn randomly and uniformly on [-R,R]. What is the probability that A*B < A+B. Your function should take one variable, R, and return the probability to within 100*eps. For example, if R = 1/2, then the probability should be:

0.560930216216329

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Last Solution submitted on Apr 10, 2024

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Gergely Patay on 13 May 2015

Please update the last test case:
"Error: BITMAX has been removed. Use FLINTMAX instead."

Rafael S.T. Vieira on 30 Jul 2020

Good problem, but the required precision is way too high. It not only prohibits brute-force methods but also multiple integrations. I was forced to find the corresponding isocurve, which was a little annoying (in other words, the formula which rendered the greatest precision).

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Problem 226. What are the odds?

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Problem 226. What are the odds?

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