There is a one in 1,296 achieving a one-roll Yahtzee.
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Inspired by this Numerophile video, I created this script that removes all the time-consuming work, and leaves you with the data you are looking for.

A week after completion, I realized I could archieve the same thing comparing two random numbers:

  • If there's a 1 in 1296 to get a one roll yahtzee, then a one roll yahtze is equal to get a lucky number in 1296.

Which eliminates the need of manage, count, store and sort and everything else. The line count went down from 106 to 6 (94.3% smaller). That's what you'll find in compressed.js