Consider three sets of random numbers, $A,B$ and $C$, with known sizes $p,q,r$, picked from the same uniform distribution on $[x,y]$. What is the probability of an $a\in A$, $b\in B$, and $c\in C$ (picked at random) being within some $\Delta$-wide window of each other, knowing the size of each set?
2026-04-05 08:37:39.1775378259
Calculate odds some $n$ numbers, picked from the same uniform distribution, occurring within some interval of eachother
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