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.

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 ...

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 ...

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.

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 ...