The Chance on X Borders when Picking 20 Random Countries

Pick 20 random countries from the Countries of the World Quiz. What is the chance there is one border between them? Or two? Or none at all? That is what is shown in this graph! Note that since this is a random process, sets of 20 countries with even more borders exist. They are just even rarer.
This data was gathered by picking 12,000,000 random sets of 20 countries, and counting how many borders are present between these 20 countries.
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