I'm not very good with statistics and such but have been working on a problem for a month now and have finally gotten to a point where I'm ready to ask for help. I didn't really know where to go but found this forum and thought I'd give it a try here. =)

I'm working on a dice game and am looking to create a formula that I can use to plug in a few variables and have a probability of a certain result kicked back to me. Here's what I've got so far:

r = number of red dice in a single throw of all dice

b = number of blue dice in a single throw of all dice

pr = probability of "scoring a point" with a red die (1/6)

pb = probability of "scoring a point" with a blue die (3/6)

n = the minimum number of "points" desired in a single throw of all dice

To put some numbers to a sample situation... I've got 2 red dice and 1 blue die in a throw. I want to know the odds of at least 2 of the dice in the throw "scoring" (it's ok if all the dice are successful).

Rather than embarrass myself by showing you guys a formula that I know is clearly wrong, I will say that I think the result of the example I've provided should be 16.67%. I'm pretty sure that's accurate because I wrote out every combination and 36 of the 216 possible results score twice on 2 of the 3 dice.

Thanks in advance for any help and I apologize for being such a noob.