MathDB
2020 BMT Individual 21

Source:

January 9, 2022
number theoryrelatively prime

Problem Statement

Let PP be the probability that the product of 20202020 real numbers chosen independently and uniformly at random from the interval [−1,2][-1, 2] is positive. The value of 2P−12P - 1 can be written in the form (mn)b\left(\frac{m}{n}\right)^b , where m,nm, n and bb are positive integers such that mm and nn are relatively prime and bb is as large as possible. Compute m+n+bm + n + b.
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