A D12 will on average roll 6.5
2d6 will on average roll a 7.
The D12 will more consistently roll higher AND lower than the 2d6, but the 2d6 benefits from the minimum roll being 2 not 1. On average the 2d6 will roll higher, but the d12 will roll its high numbers more frequently. Hope this helps.
Sure it can. The extremes are less likely when you roll multiple dice. The extremes are just as likely as the average when you roll a single larger die.
You have a 1/36 chance of rolling a 2, and 1/36 of rolling a 12, on 2d6. And a 6/36 chance of rolling a 7. You have a 1/12 chance of any of the numbers on 1d12.
No. You roll d12 and 2d6, either first roll is more likely to be higher than the second, or it is more likely to be lower than the second, or exactly as likely to be higher as it is to be lower. It can't be both more likely to be higher and at the same time more likely to be lower.
that's 3/12ths and 2/12ths respectively, not majority
3 months ago
Anonymous
Who said anything about majoritues?
The odds of getting a 12 or a 2 are both 1/36 odds, which is a smaller number than 1/12.
2d6 is more likely to give you middle numbers.
2, 3, 11, and 12, are all less than 1/12 odds.
4 and 10 are 1/12.
5 through 9 are all higher than 1/12.
The odds of rolling a 4 or less on 1d12 is 1/3. On 2d6 it's 1/6.
The odds of rolling at least a 10 is 1/4 on 1d12 and 1/6 on 2d6.
Both your highs, and your lows, are more likely on 1d12 than on 2d6. That's just math.
https://anydice.com/program/1557
3 months ago
Anonymous
>Who said anything about majoritues?
A D12 will on average roll 6.5
2d6 will on average roll a 7.
The D12 will more consistently roll higher AND lower than the 2d6, but the 2d6 benefits from the minimum roll being 2 not 1. On average the 2d6 will roll higher, but the d12 will roll its high numbers more frequently. Hope this helps.
>The D12 will more consistently roll higher AND lower than the 2d6
3 months ago
Anonymous
Because its true, the d12 will roll higher numbers more frequently than 2d6 rolls high, and it will roll low more frequently than 2d6 rolls low. Thats why i specificially mentioned averages in the rest of my post which apparently you were too moronic to read
3 months ago
Anonymous
We're not talking about averages. Please at least try to follow the conversation. Jesus.
3 months ago
Anonymous
Different anon. I think there's a misunderstanding due to needing to use basic words on /tg/ despite talking about statistics.
Going back to an earlier post >You roll d12 and 2d6, either first roll is more likely to be higher than the second, or it is more likely to be lower than the second, or exactly as likely to be higher as it is to be lower.
That's right. If a d12 and 2d6 are rolled 1000 times, the 2d6 is more likely to roll a higher number compared to the d12. However, despite having 11 possible sums, roughly half the time (16/36) it will only get the middle three (6, 7, 8) as opposed to the middle five/six. Likewise, it will roll the six outer sums (2,3,4,10,11,12) only a third of the time (12/36). A single die doesn't have this issue. The middle six of twelve outcomes happen 50% of the time, same as the outer six.
When anon said >The D12 will more consistently roll higher AND lower than the 2d6
what he meant was >The D12 will roll its highest/lowest values more often than the 2d6
Imagine you have a coin and label one side 13 and the other side 0. It would lose against a d12 half the time and beat a d12 half the time. 0 Can't beat a d12s lowest roll and 13 can't lose to a d12's highest roll. They would be perfectly balanced in a head to head duel of generating the highest number. But in a contest to roll the most 2-digit numbers, the stupid coin is way better. Likewise 2D6 beats 1D12 more often but it doesn't make as many 2-digit numbers.
morons like you are exactly why I try out every system that /tg/ says is bad. I'm sure you would gladly write an entire essay about why PbtA's 2d6 is a terrible engine, yet you're too stupid to understand how a distribution curve works.
By my moron math, you'd have a 58.3% chance of rolling a seven or better on 2d6. On 1d12, you have a flat 8.3% of rolling any given thing. So, rolling a six or less, on a 1d12 has a 49.8% likelihood, with another 8.3% if you want to match 7.
I think for a consistently higher roll you'd want the 2d6.
This thread is so funny. The question was answered here:
d12 is more likely to give you numbers 9-12. 2d6 is more likely to give you 7. So if by high number you mean at least a 7, 2d6 is better. But if 7 isn't good enough... d12 gives you the really high ones more often.
The answer depends on what you call "higher". Here's a breakdown:
**Rolling a specific high number:**
* **D12:** Has an equal chance (1 in 12) of rolling any number between 1 and 12, including high numbers like 10, 11, and 12.
* **2 D6:** Can only roll numbers between 2 and 12. While it can still reach 12 (with a 1 in 36 chance), its chance of rolling other high numbers (10 and 11) is slightly higher (5.56% each).
So, if you specifically want to roll a 10, 11, or 12, 2 D6 has a slightly better chance.
**Average roll:**
* **D12:** The average roll is 6.5.
* **2 D6:** The average roll is 7.
Therefore, 2 D6 has a higher average roll, meaning it's more likely to land in the middle range (4-9) instead of the extremes (1-3 or 10-12).
**Overall:**
It really depends on what you're trying to achieve. If you need a very specific high number like 12, 2 D6 might be slightly better. But if you want a chance at any high number and value a higher average roll, then 1 D12 is the way to go.
Ultimately, the "better" choice depends on the context and your desired outcome.
Define a high number.
All the sides on a d12 have a theoretically equal chance of occurring (assuming the die is perfectly balanced).
With 2d6, the most common result will be 7, because there are more possible combinations that equal 7 than any other result between 2 and 12.
The statistical breakdown of results on 2d6 can be visualized like so:
2
3,3
4,4,4
5,5,5,5
6,6,6,6,6
7,7,7,7,7,7
8,8,8,8,8
9,9,9,9
10,10,10
11,11
12
In other words, it's a 1/12 chance to roll a 12 on a d12, but a 1/36 chance to roll a 12 on 2d6. Am I understanding that right?
You got it.
A D12 will on average roll 6.5
2d6 will on average roll a 7.
The D12 will more consistently roll higher AND lower than the 2d6, but the 2d6 benefits from the minimum roll being 2 not 1. On average the 2d6 will roll higher, but the d12 will roll its high numbers more frequently. Hope this helps.
>The D12 will more consistently roll higher AND lower than the 2d6
both of these can't be true at the same time
Sure it can. The extremes are less likely when you roll multiple dice. The extremes are just as likely as the average when you roll a single larger die.
You have a 1/36 chance of rolling a 2, and 1/36 of rolling a 12, on 2d6. And a 6/36 chance of rolling a 7. You have a 1/12 chance of any of the numbers on 1d12.
No. You roll d12 and 2d6, either first roll is more likely to be higher than the second, or it is more likely to be lower than the second, or exactly as likely to be higher as it is to be lower. It can't be both more likely to be higher and at the same time more likely to be lower.
Look at the blue circles.
that's 3/12ths and 2/12ths respectively, not majority
Who said anything about majoritues?
The odds of getting a 12 or a 2 are both 1/36 odds, which is a smaller number than 1/12.
2d6 is more likely to give you middle numbers.
2, 3, 11, and 12, are all less than 1/12 odds.
4 and 10 are 1/12.
5 through 9 are all higher than 1/12.
The odds of rolling a 4 or less on 1d12 is 1/3. On 2d6 it's 1/6.
The odds of rolling at least a 10 is 1/4 on 1d12 and 1/6 on 2d6.
Both your highs, and your lows, are more likely on 1d12 than on 2d6. That's just math.
https://anydice.com/program/1557
>Who said anything about majoritues?
>The D12 will more consistently roll higher AND lower than the 2d6
Because its true, the d12 will roll higher numbers more frequently than 2d6 rolls high, and it will roll low more frequently than 2d6 rolls low. Thats why i specificially mentioned averages in the rest of my post which apparently you were too moronic to read
We're not talking about averages. Please at least try to follow the conversation. Jesus.
Different anon. I think there's a misunderstanding due to needing to use basic words on /tg/ despite talking about statistics.
Going back to an earlier post
>You roll d12 and 2d6, either first roll is more likely to be higher than the second, or it is more likely to be lower than the second, or exactly as likely to be higher as it is to be lower.
That's right. If a d12 and 2d6 are rolled 1000 times, the 2d6 is more likely to roll a higher number compared to the d12. However, despite having 11 possible sums, roughly half the time (16/36) it will only get the middle three (6, 7, 8) as opposed to the middle five/six. Likewise, it will roll the six outer sums (2,3,4,10,11,12) only a third of the time (12/36). A single die doesn't have this issue. The middle six of twelve outcomes happen 50% of the time, same as the outer six.
When anon said
>The D12 will more consistently roll higher AND lower than the 2d6
what he meant was
>The D12 will roll its highest/lowest values more often than the 2d6
Imagine you have a coin and label one side 13 and the other side 0. It would lose against a d12 half the time and beat a d12 half the time. 0 Can't beat a d12s lowest roll and 13 can't lose to a d12's highest roll. They would be perfectly balanced in a head to head duel of generating the highest number. But in a contest to roll the most 2-digit numbers, the stupid coin is way better. Likewise 2D6 beats 1D12 more often but it doesn't make as many 2-digit numbers.
It's just a less mathy way of saying "the 2D6 has a normal probability distribution with a lower standard deviation"
Going to be pedantic and say that it is a triangular distribution, not a normal one. It only tends towards normal in the limit of infinite dice.
morons like you are exactly why I try out every system that /tg/ says is bad. I'm sure you would gladly write an entire essay about why PbtA's 2d6 is a terrible engine, yet you're too stupid to understand how a distribution curve works.
PbtA isn't terrible because of its dice, it's terrible because it isn't a game.
Neither is your favourite RPG. They are the mind parks of simpletons who can’t into actual games.
You don't know what my favorite game is, because you need to cope with being unable to handle my post and your absence of any point or argument.
>tell morons to just read the percentage chance that each number is rolled
>they start bringing DCs and GURPS modifiers into it
It'd be 2 D6 wouldn't it, since you can't roll a 1?
Obviously its D12, its bigger than a d6 you dummy.
You're the guy who was complaining about gamers not understanding probability, aren't you?
I think 2d6. You can't roll a 1 on 2d6 and you'll average to 7. On a d12 it's an equal chance for any given number.
If you only care about rolling high numbers, the d12 is better.
By my moron math, you'd have a 58.3% chance of rolling a seven or better on 2d6. On 1d12, you have a flat 8.3% of rolling any given thing. So, rolling a six or less, on a 1d12 has a 49.8% likelihood, with another 8.3% if you want to match 7.
I think for a consistently higher roll you'd want the 2d6.
This thread is so funny. The question was answered here:
d12 is more likely to give you numbers 9-12. 2d6 is more likely to give you 7. So if by high number you mean at least a 7, 2d6 is better. But if 7 isn't good enough... d12 gives you the really high ones more often.
Oh, but this is important. If the thing you really want is NO LOW numbers, 2d6 is way better.
No.
0 = No
1 = Yes
1d12 rolls higher than 2d6 41.67% of the time.
0 = No
1 = Yes
1d12 rolls equal to 2d6 8.33% of the time.
0 = No
1 = Yes
1d12 rolls lower than 2d6 50% of the time.
>moron goes full mathlet
The answer depends on what you call "higher". Here's a breakdown:
**Rolling a specific high number:**
* **D12:** Has an equal chance (1 in 12) of rolling any number between 1 and 12, including high numbers like 10, 11, and 12.
* **2 D6:** Can only roll numbers between 2 and 12. While it can still reach 12 (with a 1 in 36 chance), its chance of rolling other high numbers (10 and 11) is slightly higher (5.56% each).
So, if you specifically want to roll a 10, 11, or 12, 2 D6 has a slightly better chance.
**Average roll:**
* **D12:** The average roll is 6.5.
* **2 D6:** The average roll is 7.
Therefore, 2 D6 has a higher average roll, meaning it's more likely to land in the middle range (4-9) instead of the extremes (1-3 or 10-12).
**Overall:**
It really depends on what you're trying to achieve. If you need a very specific high number like 12, 2 D6 might be slightly better. But if you want a chance at any high number and value a higher average roll, then 1 D12 is the way to go.
Ultimately, the "better" choice depends on the context and your desired outcome.
i mean, 2d6 always just based on the fact
d12 is 1-12
whereas 2d6 will always be 2-12, inherently making 2d6 better just by the minimum being higher.
then what dice do you choose for rolling on random tables?