2d10 as Replacement for d20?

[Tony Vargas]

I touched on that point, but you STILL benefit more in the middle of the curve, and I don't agree that the middle of the curve is 'low pressure situations'. In 4e its the vast bulk of ALL situations. I believe this is true with most modern RPGs, which generally aim for a fairly high success rate in the 50-80% range.

5e BA keeps attack rolls pretty close to the middle, and closer to needing, say, a natural 8 than an 11. If you do find yourself needing a 19 to hit, you need to find another approach, not another bonus...

 

[Jacob Lewis]

Question for you math geniuses. What is the probability of rolling doubles on 3d6? And what is the probability of rolling doubles within a specific set? (i.e. double 6s, double 5s or 6s, etc)

 

[TwoSix]

Question for you math geniuses. What is the probability of rolling doubles on 3d6? And what is the probability of rolling doubles within a specific set? (i.e. double 6s, double 5s or 6s, etc)

Top of my head, assuming doubles is any 2 of the 3 match, and a triple is also a double, it’s 96 out of 216, or 4/9 (44.4%). Doubles of a certain number is 16 out of 216, or 2/27.

 

[AbdulAlhazred]

Question for you math geniuses. What is the probability of rolling doubles on 3d6? And what is the probability of rolling doubles within a specific set? (i.e. double 6s, double 5s or 6s, etc)

The way to calculate it is actually pretty easy. The chance of rolling a given number on a d6 is obviously 1 in 6 (yeah, duh, I know). So, if you already rolled the first die and got a number (any number, doesn't matter), the chance of the second die coming up the same number is 1 in 6. The chance of the 3rd die coming up the same number is also 1 in 6. So you have 2 chances in 6 of the first number coming up on one or both of the next 2 dice, less the one in 6 of that being a triple. You ALSO have a 1 in 6 chance of BOTH of those 2 dice coming up with the same number, so your chances are now 3 in 6, if you don't need to discount triples. If triples don't count, then you have to remove that probability, which is 1/6 x 1/6 x 1/6 = 1/216. I didn't add this up, but the 96/216 that [MENTION=205]TwoSix[/MENTION] quotes is probably right.

 

[pemerton]

Here's [MENTION=205]TwoSix[/MENTION]'s maths:

Die A rolls something.

For dice B and C to both roll something different (hence no doubles) is 5/6 * 5/6 = 25/36. Hence the chance of a double with A (or a triple) is 11/36.

Suppose that die B is different from A (that is a 5/6 chance). Then the chance that C is the same as B is 1/6. 5/6 * 1/6 = 5/36 chance of doubles that are different from A.

The total chance of doubles (which includes a triple) is 16/36, or 96/216, or 4/9.

The chance of doubles on a particular number is one sixth of that, or 16/216, or 2/27.

 

[Aldarc]

Question for you math geniuses. What is the probability of rolling doubles on 3d6? And what is the probability of rolling doubles within a specific set? (i.e. double 6s, double 5s or 6s, etc)

Considering the Fantasy Age system?

 

[Jacob Lewis]

Considering the Fantasy Age system?

Nope. Just contemplating mechanics and game design.

 

[sketchingjohn]

And if you want to work through the calculations, try this site:

https://anydice.com

 

[darkbard]

And if you want to work through the calculations, try this site:

https://anydice.com

Super useful. Thanks!