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Counting & ProbabilitySuperchallengeProbability Fundamentals & Geometric Probability

Probability Fundamentals & Geometric Probability · Superchallenge problem

Four numbers x1,x2,x3,x4x_1,x_2,x_3,x_4 are chosen independently and uniformly from [0,1][0,1]. The probability that x1+x2+x3+x4≤1x_1+x_2+x_3+x_4 \le 1 is mn\dfrac{m}{n}. Find m+nm+n.