New answers tagged

1 vote

Rerolling or taking +2

This is an interesting probability question! So the key question is: What is the cutoff point in the possible outcomes of the first roll where the expected outcome of a re-roll is at least "3 ...
user avatar
  • 111
2 votes

Rerolling or taking +2

Fate dice can be represented by this polynomial: $$\frac{x^{-1} + 1 + x^1}{3}$$ or $$\frac{1 + x^1 + x^2}{3x}$$ When you roll 4 dice you get: $$\frac{(1 + x^1 + x^2)^4}{81x^4}$$ or $$\frac{(1 + x^1 + ...
user avatar
  • 13.1k
17 votes

Rerolling or taking +2

Let's test it with AnyDice: ...
user avatar
4 votes

Rerolling or taking +2

On average, the advice is sound (and I have little to add beyond the existing answers), but strategically (as @AnneAunyme points out), things are more subtle. This is probably why the SRD qualifies ...
user avatar
  • 798
3 votes

Rerolling or taking +2

Usually, yes As pointed out in the other answers, the expected value on average of rolling any number of Fate dice is 0. Thus, adding +2 to a -3 or -4 won't bring it past the average and adding +2 to ...
user avatar
  • 14.8k
15 votes

Rerolling or taking +2

Yes that is the case. The average score for any given role will be 0. If you take the +2 bonus and add it to a roll of -1 or higher, you come out better than average. If you take the +2 bonus on a ...
user avatar
  • 748
3 votes

Rerolling or taking +2

You're not likely to beat zero, but you're not likely to do worse, either. Here's a simple Fate die roller done up in Anydice. Inspecting the results in "at least" mode will show that your ...
user avatar
  • 34.5k
1 vote

How to calculate Chance of Success of a Battle?

Firstly, I would suggest you could make life easier for yourself and your players by simply rolling one die, not two. (Attacker CP+1d20)−(Defender DP+10) It also seems like you're looking for a single ...
user avatar
  • 4,808
3 votes

Is there any estimate of average damage output per turn for PCs by level?

This answer is to supplement to user77842's excellent answer with the the details worked out across all 20 levels. The overall summary of this is expressed in this graph: Medium and Hard refer to a ...
user avatar
1 vote

Dice odds of Doubles on 2D6 + D4/D6/D8/D10/D12 and Odds of 1

There are two tricks needed to get this working in AnyDice. The first is casting your rolled dice to the sequence input of a function. This lets us treat it as a rolled pool and set up simple ...
user avatar
  • 45.1k
2 votes

Dice odds of Doubles on 2D6 + D4/D6/D8/D10/D12 and Odds of 1

I think it's possible to represent your mechanic as net wins in AnyDice, but breaking it out as our wins vs. their wins will be trickier (or at least harder to see trends). That being said, my AnyDice ...
user avatar
  • 798
2 votes
Accepted

Dice odds of Doubles on 2D6 + D4/D6/D8/D10/D12 and Odds of 1

odds of doubles and triples This addresses the odds of rolling doubles and triples on 2D6 + DX by counting outcomes. +D6 With 3D6 there are 63 = 216 possible outcomes. To get doubles there are 6 ways ...
user avatar
  • 475
1 vote

How to calculate the added expected damage from critical hits?

For funsies, I took a stab at an exploration calculator/interface using dyce¹ and anydyce². You can play around with it in your ...
user avatar
  • 798
1 vote

How to calculate the added expected damage from critical hits?

By far the easiest, mathematically, way to deal with this is to think about damage per swing first. Then split that damage into "dice damage" and "static damage". If you have a 65% ...
user avatar
  • 13.1k
1 vote

How to calculate the added expected damage from critical hits?

There are several factors to consider: Your hit bonus The number you crit on Your damage dice Your damage bonus The enemy's AC First calculate your crit chance. You can calculate your crit chance by ...
user avatar
  • 537
5 votes

How to calculate the added expected damage from critical hits?

Let's start with a brief refresher of high school algebra, in case you've forgotten: $$\begin{aligned} & (D + M) \times h + D \times c \\ =\;& D \times h + M \times h + D \times c \\ =\;& ...
user avatar
3 votes

How to calculate the added expected damage from critical hits?

Let's start with an example where you hit 65% of the time with a damage roll of 1d6+3, that means that 13 of your 20 possible dice rolls result in a successful hit. 12 of those 13 hits are normal ...
user avatar
  • 11.1k
18 votes
Accepted

How to calculate the added expected damage from critical hits?

When calculating DPR of attacks, you can use†: $$ \text{DPR} = \sum_\text{attacks} \Big[h(D+M) + cD\Big] $$ where h is the hit chance, D is the dice damage, M is the modifier or static damage, and c ...
user avatar
  • 45.1k
4 votes

Ironsworn meets BitD dice mechanic (with a twist)

So, if I understand your mechanic right: You roll Xd6. Let the highest result of this roll be M, and let the number of times this result appears in the roll be N. (Thus, we always have 1 ≤ M ≤ 6 ...
user avatar
4 votes
Accepted

Ironsworn meets BitD dice mechanic (with a twist)

My AnyDice Fu is lacking, so this is a dyce¹-based solution, but I believe is otherwise directly responsive and captures my understanding of the mechanic, although ...
user avatar
  • 798
4 votes

How to make a good height and weight table?

Define sensible goals What is a sensible Weight to Height? Some game designers (Looking at you, GURPS) choose some kind of variation of one of two systems to inspire their description of a race that ...
user avatar
  • 28k
-1 votes

How to make a good height and weight table?

It's tough to answer without knowing what your goals are. Here's one way to avoid the "tall characters are too light" problem: Use the first roll to generate a height and standard weight. ...
user avatar
  • 44.1k
9 votes
Accepted

Is there any estimate of average damage output per turn for PCs by level?

You can calculate this by reversing the CR tables. For example CR1 is a medium encounter for a party of 4 level 1 characters. CR1 has 71–85hp, if you assume it takes 3-5 rounds to kill an encounter ...
user avatar
  • 537
0 votes

What deals more damage on a weapon, +1 to hit or +1 to damage?

On average, +1 to damage deals more damage in tier 1, +1 to hit deals more in higher tiers; for Sharpshooters or Great Weapon Masters, +1 to hit always deals more damage This answer uses the formula ...
user avatar

Top 50 recent answers are included