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I love playing yahtzee because the odds of the outcomes they give you are hilarious! I once lost a game on the last turn because I wasn't able to roll a single number once with all 15 rolls. That is funny!!! Can someone calculate those odds? Lol

You could love it because it shows human inability to grasp randomness

Do you mean what's the chance, of rolling 15 dice and not getting a single 2 (for example)? That's (5/6)^15 = 6.5%, not too unlikely. If you mean the chance of not getting at least one of every number, that's even higher (but not 6*6.5%, because there would be some double counting).

With you and your opponent each having 13 turns it's actually something you'd expect to happen about once per game actually. Just unlucky for it to happen on the final roll when you needed it not to.