MathDB

Let

P

be the probability that the product of

2020

real numbers chosen independently and uniformly at random from the interval

[-1, 2]

is positive. The value of

2P - 1

can be written in the form

\left(\frac{m}{n} \right)^b

, where

m

n

and

b

are positive integers such that

m

and

n

are relatively prime and

b

is as large as possible. Compute

m + n + b

Problem Statement