A total of 1,653 means your pal was rolling an average of 5.51 with each roll – and according to the Central Limit Theorem, that’s almost entirely impossible. You should call bullshit.

Central Limit Theorem (CLT): A fundamental theorem stating that the sum of a large number of independent random variables, under certain conditions, converges to a normal distribution.

Po-Han HSU, Peng-Jie WONG, On Selberg’s Central Limit Theorem for Dirichlet L-functions, Journal de Théorie des Nombres de Bordeaux, Vol. 32, No. 3 (2020), pp. 685-710 ...

Nobuo Yoshida, Central Limit Theorem for Branching Random Walks in Random Environment, The Annals of Applied Probability, Vol. 18, No. 4 (Aug., 2008), pp. 1619-1635 ...

CreatureCast - Central Limit Theorem from Casey Dunn on Vimeo. The normal distribution, a bell-shaped statistical curve with a concentration about the mean, is a common phenomenon when looking at ...