I agree it's confusing. If you consider a random variable X whose value is the rank of a randomly chosen elliptic curve. Then I believe this article is saying X

I agree it's confusing. If you consider a random variable X whose value is the rank of a randomly chosen elliptic curve. Then I believe this article is saying X converges in probability [1] to 50%/50%. Similarly related is the concept of "Almost Surely" [2]. Wikipedia includes a great example with throwing a dart. [1] : https://en.wikipedia.org/wiki/Convergence_of_random_variables#Convergence_in_probability https://en.wikipedia.org/wiki/Convergence_of_random_variable... [2] : https://en.wikipedia.org/wiki/Almost_surely#Throwing_a_dart https://en.wikipedia.org/wiki/Almost_surely#Throwing_a_dart