Dear smart people... (not GalCiv2 related)

Ok...yes, its not related to the game, but this forum has some pretty sharp folks running around.

Anywho, I'm trying to figure out some probability figures, its pretty simple really, but I cant for the life of me remember how to do it.

Essentially I want to figure out how many combinations are possible for 3 six-sided dice. Then, I wanna know how many possible combinations exist to make each of the numbers that can be made (3 through 18).

So if anyone wants to help...please do ^_^
Thanks
13,149 views 6 replies
Reply #1 Top
For the first I think its 6^3 combinations..not sure been a while since I did any of that kind of thing.

For the next sorry, I don't remember, I'd look it up in one of my math books, but I don't want to wake up my girlfriend.
Reply #2 Top
Since I'm pretty sure you're trying to figure out the bell curve distribution for a roll of three dices, I'll ignore the implication of unique rolls and all that good stuff to focus on the numbers you're looking for...

Basically, rolling 3 6-sided dices gives you 6^3 = 216 combinations...

Then, to figure out the number of combinations, you need to figure out how many combination of 3 numbers add up to that number. Normally there are formulas for this, but I'm afraid people tend to get brain fried looking at them, so let me put it down in terms people can understand...

3 = 1 (1+1+1)
4 = 3 (2+1+1), (1+2+1), (1+1+2) (remember, it's not unique)
5 = 6 (3+1+1)x3, (2+2+1)x3 (2 different # produces 3 combinations
6 = 10 (4+1+1)x3, (3+2+1)x6, (2+2+2) (3 different # produces 6 combinations)
7 = 15 (5+1+1)x3, (4+2+1)x6, (3+3+1)x3, (3+2+2)x3
8 = 21 (6+1+1)x3, (5+2+1)x6, (4+3+1)x6, (4+2+2)x3, (3+3+2)x3
9 = 25 (6+2+1)x6, (5+3+1)x6, (5+2+2)x3, (4+4+1)x3, (4+3+2)x6, (3+3+3)
10 = 27 (6+3+1)x6, (6+2+2)x3, (5+4+1)x6, (5+3+2)x6, (4+4+2)x3, (4+3+3)x3
11 = 27 (6+4+1)x6, (6+3+2)x6, (5+5+1)x3, (5+4+2)x6, (5+3+3)x3, (4+4+3)x3
12 = 25 (6+5+1)x6, (6+4+2)x6, (6+3+3)x3, (5+5+2)x3, (5+4+3)x6, (4+4+4)
13 = 21 (6+6+1)x3, (6+5+2)x6, (6+4+3)x6, (5+5+3)x3, (5+4+4)x3
14 = 15 (6+6+2)x3, (6+5+3)x6, (6+4+4)x3, (5+5+4)x3
15 = 10 (6+6+3)x3, (6+5+4)x6, (5+5+5)
16 = 6 (6+6+4)x3, (6+5+5)x3
17 = 3 (6+6+5)x3
18 = 1 (6+6+6)

To check... (1+3+6+10+15+21+25+27) = 108 x 2 = 216 total combinations.

I'm sure you can take care of the rest...

Reply #4 Top
The answer is 42.


nice.
Reply #5 Top


[moved to offtopic]
Reply #6 Top
Thanks you guys, and thanks Kyro for moving it, hehe I meant to put it there in the first place...

Cool this was exactly what I wanted to know, you all are awesome! ^_^