Here is what I got:
(9 choose 3) x (1/6)^6 x (5/6)^3 = .001041904...
The odds of getting 6 of any particular value will be six times that, or:
.0062514288
Thank you for the reply.
Exactly six of a kind in one shake.
I have been looking at the formula for this and
to me it seems ultimately non-intuitive.
Hopefully you can stick around to unpack this for me.
What are the odds of getting six-of-a-kind out of nine dice
in one shake?
This is the shake of the day at a tavern near me.
I know the odds of six-of-a kind-in one shake
given six dice; the three extra dice have me bumfuzzled.
I have been unable to plug the numbers into the equations
I...