10,000 Dice Game

[peekozi]

With 6 dice, what are the odds of rolling 2-sets of 3 in one roll? What are the odds of doing it twice in a row?!?! It happened to my wife 2 days ago!!!

My guess is: 281,474,976,710,656:1

Am i even close?

[kyro]

what are the odds of rolling a (2,4,6,5,5,1)

[gaming_mouse]

You are way, way off.

nCr(6,2)*nCr(6,3)
----------------
6^6


15*20
------ = .0064, about 6 in 1000
46656


EDIT: Keep in mind that the chance of rolling all sixes is only 1 in 46,656 -- which should be obvious.