What is a character of distribution of the sum of two random numbers in the range $(0, 1)$? I guess that it should be uniform. But in case of specific example it's not.
2026-04-01 17:25:46.1775064346
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Sum of two random numbers
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The probability distribution of a sum of independent random variables is the convolution of the probability distribution of those random variables.
See https://en.wikipedia.org/wiki/Convolution_of_probability_distributions.
If you apply that principle, you will get an answer to your question.
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The answer is the Irwin–Hall distribution. Thanks to @Zubzub.