I'm not sure how you got to those numbers. There are 18 options for each face op...

rockostrich on June 28, 2017 | parent | context | favorite | on: An easter egg for one user: Luke Skywalker

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.

sonnyz on June 28, 2017 [–]

In the post, it says he only filtered on three. Glasses, Girl, and Smile.