Any Dice Math Wizards Out There?

By Boba Rick, in Elder Sign

I find this game fascinating and would love it if anyone could explain some of the math behind it.

Example: if you're rolling 6 dice and you need to get three separate and different results at the same time, how do you figure that? I know you have a 16% chance of rolling a single result, and if you roll 6 dice you multiply that by 6 which would equal 96%. But, if you have to get 2 different results, do you just cut that number in half equaling 48%? Then if you needed three different results would you divide 96% by 3, equaling 32%?

Following this same formula, if you miss on the first shot and now only have 5 dice it would be 26%, 4 dice would be 21%, 3 dice would be back down to 16%.

Did I get that right?

To further complicate the question, say you have to roll 2 tentacles and 1 skull with 6 green dice, how would you calculate that? It's not like the above situation with three different results, two of the dice MUST match, and one MUST NOT.