I googled magic cards with die rolls and got list of magic that require some one to roll a die. So it is certainly possible to include them in a game. There are also a lot of results with magic cards with a card flip.

If you wanted to stay away from dice maybe you could do a reveal the next card in your deck to for randomness resolution.

Good luck with your game.

They have a Binomial (D2) Distribution, a D3 Distribution, a Normal D6 Distribution, a Damage Distribution (0 to 6) with the use of 2DD"B" (which means Face "B" on both dice).

Using the dice requires the rolling of ONE or TWO Dual Dice depending on the goal of the roll.

I'm not recommending the use of more that two (2) dice ... Because they are "specialty" dice ATM which cost a lot to make, ship and sell.

But I'm still looking for a DESIGN that would need some if not all of those distributions.

Cheers!

What is TN? And NN, YN, NY, YY... Is it "The Number"? And NN = 0,0 and YN = 1, 0 and NY = 0, 1 and YY = 1, 1 ... Right? Binomial outcomes. The Dual Dice are a bit more "flexible" in that it's 0 or 1 but you SUBTRACT "Face A" - "Face B". Ergo the name "DUAL" Dice (there are two faces per side: A and B).

So if you want Binomial distribution, you simply use the SUBTRACTION operator.

Example: "Face A" - "Face B". so "3" - "2" = 1, "2" - "2" = 0, etc. You still get ONE (1) Result per dice. Much like you were thinking.

I have been analyzing and determined that "Face A" (which is 1D3) compared to 2x "Face B" (which is a Damage dice: 0 to 6)... This is an INTERESTING distribution... It's a Bell Shaped Curve and therefore the ODDS of "0" & "6" are much lesser (Valleys) than the other value with "3" being the sweet spot with a probability of 29% (almost 1/3rd ... A little off).

To be exact this is what the distribution looks like of 2DD"B":

0: 2.78
1: 11.11
2: 22.22
3: 27.78
4: 22.22
5: 11.11
6: 2.78

This again is with 2DD"B" (2x Face B).

Well if you need roll 0 or 1 for 10 dice, you can roll 5x 2DD"A - B". Which means 5 times 2 Dual Dice where you subtract "Face A" MINUS "Face B" to get Binomial outcomes.

It's interesting IF you need a NORMAL 1 or 2D6. Because that's 1DD"A + B" (for 1 die) the Normal Standard D6 Distribution.

BUT there exists one additional Distribution which is something else which requires a die roll UNDER "10":

1DD"A x B": 1 x 0 = 0; 1 x 1 = 1; 2 x 1 = 2; 2 x 2 = 4; 3 x 2 = 6; 3 x 3 = 9.

So this distribution looks like: 0, 1, 2, 4, 6 and 9.

I could be usable in a context where you need something VARIED. But the probabilities are real STRANGE... So I don't talk about it much TBH.

Anyhow ... The multiplication operator is VERY unpredictable. The distribution looks like this (and I warn you it's chaotic!):

0: 16.67
1: 11.11
2: 22.22
3: 16.67
4: 11.11
6: 16.67
9: 5.56

It's really WEIRD TBH. It's not Factorial even if at first glance it MAY seem like so (but it is NOT!)... I've explained pretty much about the "Dual Dice". If you have questions, let me know!

Cheers.

Probabilities

2DD"A" = output 2d{1, 1, 2, 2, 3, 3}

2: 11.11
3: 22.22
4: 33.34
5: 22.22
6: 11.11

2DD"B" = output 2d{0, 1, 1, 2, 2, 3}

0: 2.78
1: 11.11
2: 22.22
3: 27.78
4: 22.22
5: 11.11
6: 2.78

Opponents

STR = 5 vs. STR = 3.

Sample Rolls

Roll 2DD6 each: 6 and 1 (both 11.11% in terms of probabilities)

STR = 5 + 1 = 6

STR = 3 + 6 = 9

STR = 3 WINS.

Roll 2DD6 each: 6 and 5 (again both 11.11% in terms of probabilities)

STR = 5 + 5 = 10

STR = 3 + 6 = 9

STR = 5 WINS.

How does this work???

Well to start each player needs to have 2 "Dual" Dice. If this is a two (2) Player match-up you need 4 Dice.

That's not really a bad deal... The normalize version adds UPPER BOUNDS and LOWER BOUNDS (with identical probabilities). This is good because it means that you have the same odds and they are NOT equally likely. They have their own Normalized Distribution. Because you have this DUALITY (ergo: the name "Dual" Dice), you have a bit more interesting outcomes rather than equally likely 1D6 (with all same odds). This version requires two (2) Dual Dice to be rolled by each opponent. So four (4) dice in total.

But you can see that with ODDS... There is more room to play with normalized values with this method of Distribution.

I find it fascinating TBH. I think this method of ROLLING dice could be of VALUE!

It may seem a bit COMPLICATED at first. But hey, you were looking for a method which is DIFFERENT and more "flexible". To me this means something that will no doubt be more complex than rolling 1D6...

But in many cases, I actually require a 1D3... Which doesn't exist except for a CUSTOM D6 dice with the faces {1, 1, 2, 2, 3, 3}. Well TBH I don't want a SINGLE die for this especially when custom when I can have a STANDARD-compatible 1DD6 that does BOTH Normal D6 odds, plus the 1D2 and 1D3 plus some of the EXTRA probabilities and distributions we've been discussing.

Even if this COMBAT is not for you... I'm sure I'll find some use for it EVENTUALLY... I'll keep it in mind, in the event that I need a SIMPLE but a bit more EFFECTIVE of a combat resolution mechanic.

Like I said: "Ideally I would want to have at most 2DD6s per player." And if the game is a DUEL (2-Players) well I will have the dice EXACTLY for that purpose...

TBD how things move forwards... It's hard to AVOCATE for something that is a bit NEBULOUS. Yes we can talk about normalized distributions, other probabilities, and randomness in a Card Game ... But sometimes you need a HOOK or something by which you can SELL the game with.

And obviously this is something that I will work-out when I find a game that matches what my dice are offering. Otherwise it's a bit of a NOVELTY item at best. At this point I am NOT trying to sell the dice. I figure such a SIMPLE and effective combat mechanic could be useful in ANY game put forth (at some point in time).

In any event, if I haven't explained things sufficiently, just ask me some questions and I'll do my best to respond.

Sincerely.