But some are more equal than others

TL;DR

This paper investigates the probability that two skaters are exactly equal to the third decimal place after measuring four distances, highlighting differences in equality in a probabilistic context.

Contribution

It introduces a novel probabilistic analysis of equality conditions among skaters based on multiple distance measurements.

Findings

Calculated the probability of two skaters being equal to three decimal places.

Demonstrated the impact of measurement precision on equality probability.

Provided insights into probabilistic equality in geometric contexts.

Abstract

All men are created equal, proclaimed Jefferson in 1776 -- but some are more equal than others, added Orwell in Animal Farm in 1945. So what's the probability that two skaters are exactly equal, to the third decimal places, after four distances?