Johntodo's page

So I have a GM who wanted us to make 'Epic' characters. Very special beings and what not, yet still play by regular class rules.
One way we are special, is that instead of rolling 4D6, dropping the lowest like I have normally seen, he wants us to roll 4D6 and re-roll 1's and 2's (min 12, max 24).
I'm trying to math, but can't quite get the chart right. What I would really like to know, despite how difficult this would really be to figure out, is with 3's, 4's, 5's, and 6's, what is the percentage chance of getting each specific number?
Example, to get a 24, you NEED 4 6's. You have a 25% chance of getting a 6. To get 4 6's, you quarter 25 another 3 times. Rounded up that would be about a .4% chance (I probably didn't do that right..). Whats the chance of getting a 23? 22? 21? etc...
The middle numbers have a much higher chance, due to more combinations being able to reach it.
It's a lot to ask, I know. This is why you need to stay in school :)

P.S. Im (not-so) silently seething in rage at a player who I think used a 'random number generator' and got a 24 and multiple 22's. 5 out of 6 of his stats are above 20.
I happily rolled a 23 and 2 20's in front of the GM with legitimate dice rolling, and i was ecstatic.
That is kind of the purpose of this little side project.. and you know... Didn't something like this kill the cat?

Basically, I've got this 11th level druid. I have a Stegosaurus animal companion, mainly for the Trip special attack it gets.

"A creature with the trip special attack can attempt to trip its opponent as a free action without provoking an attack of opportunity if it hits with the specified attack. If the attempt fails, the creature is not tripped in return."

Snagged power attack for him early, put a point into int at 4th level, got cleave, improved natural attack, and great cleave.

My Stego, being the badass that he is, deals 2D8 base damage, 3D8 with INA, and 6D8 with Strong Jaw. 8D8 if i want to go so far as to Animal Growth him.

So now we put it all together into a Great cleaving 8D8 damage dealing free action tripping beastmode Stego (with 10-15 feet of reach!)

Am i correct in assuming this all goes together as I have stated? Or is the 'specified attack' it says in the trip description a special kind of attack action? My interpretation is the specified attack is his tail attack which is what he is great cleaving with.

Thanks for reading :)