In case anyone is confused by the idea that “random numbers [...] will tend to clump”, I can’t resist mentioning the glowworm story referred to in the Wired article “What does randomness look like?”[1] and how people showed the seemingly purposeful clustering of V-1 impacts during the London Blitz was purely due to randomness[2].

(h/t Leonid Petrov, Victor Kleptsyn)

[1] https://www.wired.com/2012/12/what-does-randomness-look-like...

[2] https://www.actuaries.org.uk/system/files/documents/pdf/0481...