I'm not sure how you got to those numbers. There are 18 options for each face option (eyes, hair, mouth) so the odds of picking the right face is 1/5832. And t

I'm not sure how you got to those numbers. There are 18 options for each face option (eyes, hair, mouth) so the odds of picking the right face is 1/5832. And the odds of picking yahtzee are 1/26. So the actual odds of picking the right combo are 1/151632.