The universe never lies.
odds of getting a Yahtzee in 1 roll: 1 in 1296.
That’s where five 6-sided dice all show the same number.
Sometimes it takes 1 try, and sometimes it takes 10,000. But if you roll enough times, the average creeps closer and closer to 1296. Humans don’t have time to roll that many dice, but computers sure do!
This simulator can help you experimentally verify what happens if you roll A LOT of dice. Tell it how many Yahtzees to roll. For each one, it will roll 5 dice over and over until it gets a Yahtzee in 1 try (no re-rolling dice per the usual Yahtzee rules). Then it will plot how many tries it took each time. See what happens with 100 Yahtzees, and compare that to 1,000 - or 10,000. more than that, and you could be waiting a while for the results…