Advanced Probability Help

[giants756]

I need help creating a formula determining if the "ATTACKER" lands a Hit on the "DEFENDER". There are many factors that go into this and I can't seem to figure it out... I've uploaded an image of all the dice possibilities.

Example Scenario

ATTACKER'S DICE		DEFENDER'S DICE
Yellow (D12)	2	Red (D12)	1
Green (D8)	4	Purple (D8)	2
Blue (D6)	2	Black (D6)	1

Factor 1: There are multiple of each dice and each color dice has different result possibilities (Refer to image for percentages)
Factor 2: Some sides of the dice count as 1 Hit, some 2 Hits, and some 3 Hits. (And the same goes for the dice used for blocking)
Factor 3: I am comparing the number of Hits vs the number of Blocks rolled. Each Block cancels out a Hit.
Factor 4: A tie goes to the Defender because in the case all of the Hit's would be Blocked.

So the situation is (Yellow, Green, Blue used for attacker) VS (Red, Purple, Black used for defender).
I'm needing to know what th

e percentage is that the ATTACKER lands at least 1 more Hit than the DEFENDER does Blocks (Basically I need to know what the chances are that the attack will hit the defender.

The attached image shows the number of sides on the dice that count for each Hit/Block. For example: the yellow dice has 1 side that counts as 3 Hits (8% chance of landing on that side).

If you need any more information let me know! I greatly appreciate any help I can get! I've been trying to figure out how to do this for a while and can't seem to wrap my head around all the possibilities.

 

[giants756]

I see that I was a little slow in responding^^^
I was just about to see if I can get a decent probability of throwing scores 0 - 8, based on the chart below which shows the required 1,2,3's needed (any balance being 0's)
Note that combinations needing more than one 3 cannot be thrown.

Book1
	N	O	P	Q	R	S	T	U	V	W
1	Score
2	0	0
3	1	1
4	2	11	2
5	3	111	12	3
6	4	1111	112	22	13
7	5	11111	1112	113	122	23
8	6	111111	11112	1113	1122	123	33
9	7	1111111	111112	11113	11122	1123	1222	133
10	8	11111111	1111112	111113	111122	11123	11222	2222	233
11	9	111111111	1111112	1111113	1111122	111123	111222	12222	1233	333
Sheet2

@giants756 What is the motive behind you wanting this? How accurate do you need it? Is it worth me missing the football on TV to pursue it?

I appreciate all the help! I think I have what I’m looking for with this Hit to Block Ratio. I think it’s just too much to try and comprehend finding the percent chance of hitting. Definitely seems like there are a lot of possibilities to consider for a percent and I think the Ratio gives me a better perspective.