"New" task resolution

[jdizzy001]

This isn't for cnc, per se, but while I was looking thru my copy of the hobbit adventure board game I took note of how they resolve tasks. 2d6. After rolling your 2d6 you multiply the 2 results together and add your relevant modifiers. I say it's "new" because rolling a number and adding modifiers to be a TN is far from new . Regardless, I like it because you can generate 18 different numbers on 36 possibilities. It also provides a true bell curve of probabilities as opposed to a flat curve offered by a single d20.

I'm not advocating it over another form of task resolution, it is just something cool that I found and thought I'd share.

[Arduin]

Bell curve or linear. It all comes down to what % change you want...

[Treebore]

D20 still creates a bell curve. Just sayin.

[Sir Ironside]

D20 still creates a bell curve. Just sayin.

How? Your chances of rolling a 1 to 20 is still 1 in 20 (5% for each number.)

[Dracyian]

According to statistical theory the only time you will get a bell curve is when you have more than one die

[Treebore]

Roll a D20 a few hundred times, you'll see.

[alcyone]

Actually, punch 1d6*1d6 into anydice, you don't get a curve, you get something jagged. Or at least it's not a bell curve if it's ordered.
As far as Treebore's comment, I don't see how a d20 is a bell curve no matter how many times you roll it. I am missing something. Unless you are just saying, it will because real dice aren't fair or perfect.

[Sir Ironside]

Roll a D20 a few hundred times, you'll see.

Throw a d20 a few hundred times and you can get a flat line, spikes or bell curve. That is just chance not mathematics.

So, still awaiting on an answer.

[jdizzy001]

Roll a D20 a few hundred times, you'll see.

Throw a d20 a few hundred times and you can get a flat line, spikes or bell curve. That is just chance not mathematics.

So, still awaiting on an answer.

It's statistics, not math .

D20 still creates a bell curve. Just sayin.

Sorry tree, a single d20 does not create a bell curve. Each value has an independent, equal chance of 5% to be rolled. That means it is statistically impossible to create a bell curve. Now, I would add, if a d20 has a few faces with the same number, multiple 10's or something, then one could create a bell curve with it as the probability of rolling 1 number would be different than another.

Actually, punch 1d6*1d6 into anydice, you don't get a curve, you get something jagged. Or at least it's not a bell curve if it's ordered.
As far as Treebore's comment, I don't see how a d20 is a bell curve no matter how many times you roll it. I am missing something. Unless you are just saying, it will because real dice aren't fair or perfect.

2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
As you can see, there are 36 possible rolls of the two dice. These are all equally probable (P=1/36=0.0278 rounded off). And there are 6 ways to roll 7. The probability of rolling 7 is 6/36 or 0.1667. This illustrates the very basics of probability. When we have y (36) equally likely results, and we want to know the probability that a subset of x (6) of them will occur, then P=x/y. That is the definition of P, the probability that something will happen. The probability that A will happen is written P(A). We can write the probability of rolling a 7 as P(rolling 7)=0.1667. (http://www.jimloy.com/math/probabil.htm)

[alcyone]

l must have misunderstood your post...
With 1d6 X 1d6 there are zero ways to roll a 7 .

[Arduin]

l must have misunderstood your post...
With 1d6 X 1d6 there are zero ways to roll a 7 .

yup tis true.

[jdizzy001]

l must have misunderstood your post...
With 1d6 X 1d6 there are zero ways to roll a 7 .

I see what you mean now. Those jagged results aren't pretty, but there is a bell curve to it. It isn't as nice as the one posted above (which is a true 2d6) nor is it one you would want to try and work with in a stats course, but it is a two peaked curve at 6 and 12. Both with an 11% frequency. It's also skewed left.

[Dracyian]

you also can't get 11, you can't get any prime number between 7 and 36 when 1d6*1d6
So you get mini peaks, not a true bell curve per se as aergraith said. It is bell shape over all with 4 peaks, kinda the great pyramids of giza with a toss in of small hill