The small world problem asks for the probability that two people picked at random have at least one acquaintance in common.
Small World Problem
See also
Birthday Problem, Small World PhenomenonExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Small World Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SmallWorldProblem.html