# Tagged Questions

Statistics deals with the mathematics of probability-based games.

1answer
2k views

### How likely is success in Dungeon World?

Most any roll in Dungeon World that isn't a damage roll is 2d6 plus the relevant stat modifier. The results (barring explicit exceptions in the move) fall into the following three categories: ...
7answers
4k views

### Does the chance of rolling a 1 in a pool of d10s increase as the number of dice increases?

Just a question about probability. If I roll one d10 there is a 10% chance of rolling a 1. Assuming that receiving any 1s among the results of a pool of dice is a failure, what are the chances of ...
1answer
101 views

### Are my AnyDice calculations for the Old World Of Darkness correct?

Here is the average amount of successes you can get from a given dicepool (left column) and given difficulty (upper row). Are the forumulas correct? Here is my program on AnyDice.com. Are there any ...
6answers
659 views

### Are class features, Abilities, and feats that allow −5 to attack to get +10 to damage mathematically sound?

Some class features, abilities of monsters, and feats allow you to take a −5 to your attack roll in order to gain a +10 to your damage roll. At first glance this looks really good, but when will it ...
3answers
512 views

### What is the average roll of a die with an expanded explosion threshold as compared to one with an expanded success threshold?

This is going to be a bit of a weird question, but I'm figuring dice pool probabilities for a homebrew system and I want to know how certain abilities should be priced regarding their use. The basic ...
3answers
855 views

### Considering Complex Dice Roll Probabilities

Hoping someone more math and excel/troll/anydice competent than I can help me out. I've long been considering implementing some Dungeon World style die roll mechanics into D&D. With Next about ...
4answers
2k views

### What is your chance to win in a contest where you have advantage and your opponent has disadvantage?

I'm trying to think of the answer to a certain problem, but I'm finding it hard to calculate. How much of a statistical edge do you have in a scenario where all of the following are true? You ...
1answer
813 views

### Dice pool success probability with one exploding die

I'm looking for the math behind the following: Players have a pool of 3–11 d6s, and have to get from 1–4 successes, "success" being a roll of 5+. One of these dice is special (represented ...
8answers
3k views

### How do I approach the probability of a d100, using 2 d100's?

We're running an almost 100% homebrew system, which uses skills in order to craft objects during play. Allow me to first formulate an example to explain my question better: Jack is quite the mason ...
7answers
17k views

### When rolling percentages, do 1d100 and two d10s (percentiles) share the same probabilities?

I know d100s are shunned because they take too much time to roll, and 1d10+1percentile is really fun, but do they share the same probabilities? Is it better to use a (digital) d100? Also, do d100s ...
2answers
3k views

### What is the probability of surviving my death saves?

If my character drops to 0HP but is not killed instantly by massive damage, what is the probability that I will stabilize via death saves unassisted/unhindered? As a refresher, here are some of the ...
5answers
4k views

### How many rolls does it take to get to six coins?

I'm designing a microRPG and need some help calculating probabilities so I can make an informed decision about how many coins to start with (controlling session duration and early-game frustration). ...
3answers
190 views

### Improving “fumbles” when using pools of d10s in TROS

The original rules in TROS use varying pools of d10s to attempt rolling one or more successes against a varying Target Number (e.g., commonly a TN=7). Roll the pool of dice, count up the successes ...
2answers
483 views

### What is the formula for average damage for an Avenger against an Oath target?

I am creating a spreadsheet to compute average damage for my party. One of the issues that I am having is calculating average damage for the target of our Hybrid Avenger-Assassin's Avenger attacks ...
2answers
902 views

### How do you calculate an average damage when damage is conditional on circumstances?

I'm trying to compare two rogue builds to each other. The first rogue is easy. It's a wood elf with a long bow in a wilderness campaign, doing 1d8+mod damage and always being hidden with SA damage. ...
5answers
1k views

### Does a roleplaying game that uses continuous probability exist? [closed]

I have an idea for a roleplaying game that uses continuous probability distributions (like the normal distribution) to decide random outcomes (instead of discrete distributions that comes from using ...
8answers
4k views

### What is the statistically superior character creation method, twelve 3d6 or six 4d6?

The D&D 3.5 Player's Handbook gives (among others) two preferred methods to roll ability scores for a new character: a) roll 3d6 twelve times and keep the preferred six results, or b) roll 4d6 and ...
6answers
3k views

### Are Earthdawn's dice mechanics as unfair and wonky as my player claims?

After an Earthdawn one-off running Misguided Ambitions with my regular D&D 4E group — because one guy was MIA — I had a discussion with one of the players about Earthdawn's dice mechanics. The ...
4answers
12k views

### How much damage does Great Weapon Fighting add on average?

The Great Weapon Fighting Fighting style states the following: When you roll a 1 or 2 on a damage die for an attack you make with a melee weapon that you are wielding with two hands, you can ...
5answers
2k views

### How to calculate the expected damage increase from Empowered Spell?

In D&D 5th Edition the Sorcerer Metamagic ability Empowered Spell states the following: "When you roll damage for a spell, you can spend 1 sorcery point to reroll a number of the damage dice up ...
3answers
840 views

### How do I calculate the chance of hits?

(I do not know if I should post this in math.stackexchange.com, so I try to phrase it in a way that it makes sense for non-roleplayers. Just in case it gets moved) In the latest two editions of ...
1answer
247 views

### Calculating 6D6 similar to poker dice [closed]

I keep coming back to the idea of building a game system around a 6D6 roll, taking matching sets of numbers and 'straights' as measures of effect. This guarantees that something always turns up (as ...
3answers
5k views

### What's the probability curve of the D10 Storytelling System?

Recently a friend commented that he thought the dice pool in the d10 Storytelling System actually gave mediocre results, and that by increasing the number of dice thrown you were actually decreasing ...
1answer
202 views

### How do you calculate the odds of success for an ability contest

I'm having a hard time understanding how to figure out the odds of success from an ability contest. I originally thought that each +1 would be 5% but anydice suggests 4% but only after a +1 ...
5answers
17k views

### How does rolling two dice and taking the highest affect the average outcome?

D&D 5E has an "advantage" concept where instead of rolling 1d20, you roll 2d20 and take the highest. Likewise, disadvantage means rolling 2d20 and taking the lowest. How does this affect the ...
4answers
1k views

### Is there a subtle difference between increasing DC and adding detrimental modifiers?

Modifying difficulty works in various ways within and between various roleplaying systems. But generally speaking, it seems added difficulty either modifies the target number (altering the check) or ...
1answer
52 views

### Improving “fumbles” when using pools dice in TROS, part 2

(Thank you all so much for your help on my last post! I appreciate the explanations, graphs and suggestions given. As I continue to experiment with my homebrew variant, I do a lot of probability ...
4answers
374 views

### How does replacing Advantage with a flat +2 affect Champion critical hit damage output?

My DM does not like Advantage/Disadvantage. While I disagree with his reasons on this, he has decided to replace it with a +2/-2 rule and I respect him (mostly) enough to follow his rules. I recently ...
2answers
1k views

### Are Half-Elves immune to the paralyzing property of a Ghoul's Claw action?

The Ghoul's Claw attack in the Monster Manual (p.148) has the rider of forcing a save or paralyzing a creature if the target: ... is a creature other than an elf or undead ... My question is ...
2answers
256 views

### Can you roll a dice pool or multiple dice rolls with only one die?

Say I'm playing Vampire: The Requiem and I need to roll 5 d10's. Can I roll a d10 5 times instead of having 5 d10's? Can I split it up if I must, so if I only had 4 d10's could I roll the 4, then roll ...
2answers
146 views

### How can I get the highest or lowest values of an irregular dice pool in AnyDice?

I want to calculate irregular dice pools, such as (2d10, 1d8) in AnyDice, but I'm having difficulties. What I mean to do is out of a roll of 2d10 and a 1d8, take the highest (or lowest) two values ...
2answers
3k views

### What are the statistical implications of doubling damage on crit instead of doubling the dice rolled?

I've been playing with a group that frequently allows players to double the value of dice rolled for crits (and other things) rather than rolling double the dice. Example, someone crits with 2d6 and ...
5answers
1k views

### How I figure what dice I need to attain a certain curve? [closed]

I want to make character stats that fit within certain bell curves depending on choices during character creation (for example race, gender, class, sprokets amount, whatever). And I am wondering how ...
2answers
186 views

### What is the Expected Damage Gain from this Part of my Homebrewed Gunslinger Feat?

Preamble: One of the players in a campaign I will be DM’ing for will be playing a fighter archetype called the Gunslinger (made by Matthew Mercer for the RPG show Critical Role). Since the player ...
1answer
478 views

### How can I simplify a series of rolls without changing probability too heavily?

Ok, I'm working on a combat system converted from a video game to a tabletop game, and I'd appreciate some feedback on how I can make my combat defense system work. Currently attacking is handled as ...
8answers
5k views

### Can I substitute a d3 with a d6?

I don't have a lot of dice yet, just a basic set of polyhedral dice: 1d4 1d6 1d8 2d10 1d12 1d20 Sometimes an ability or save calls for a die that I don't have. Strike, Unarmed [...] ...
3answers
273 views

### How to compare hit % and damage between 1 attack vs 4 attacks with disadvantage?

Quite a few scenarios here, wish my AnyDice fu were up to par—if it's too much, no need to cover all of them, just the most representative, so I can figure out the rest. For the given character ...
4answers
1k views

### How do I calculate the chance to hit a given AC?

My current level 2 variant Ranger has the Sharpshooter Feat. His hit modifier is normally +7, but with Sharpshooter it's +2 (due to the −5). I am wondering what the % based chance to hit is ...
2answers
136 views

### What circumstances make Heighten Turning worthwhile?

The feat Heighten Turning has the following as part of its benefit: When you turn or rebuke undead, you may choose a number no higher than your cleric level. Add that number to your turning check, ...
4answers
3k views

### Is giving one side advantage always equivalent to giving disadvantage to the opponent?

Sometimes, players get advantage; sometimes, monsters get disadvantage. Sometimes it's not clear whether to give someone advantage or his opponent disadvantage, especially in improvised contests (PHB ...
13answers
14k views

### 3d6 vs a d20: What is the effect of a different probability curve?

What is the effect on game play of replacing d20 rolls with 3d6 rolls in a D&D 4e campaign? I started thinking about this after reading this question where the example was given of playing a d20 ...
1answer
135 views

### Bulldogs! Gear damage vs. accuracy

I'm looking at ways to model weapons for my setting, and I like quite a few things what the Bulldogs! system does. Basically, it's a system that has Fate's Damage Floor (+Damage) combined with a ...
2answers
2k views

### How can I model Burning Wheel probabilities in AnyDice?

I have a basic intuition about dice in Burning Wheel, but it's handy to be able to look at actual probability distributions to hone your intuition. Especially since important rolls can involve ...
1answer
124 views

### Help calculating opposing dice pool in AnyDice

I need to calculate the probability of A winning against B. Both A and B throw 1-15 d6s, the one with more successful dice (SD) wins. There are actually 5 possibles outcomes: ...
1answer
314 views

### Concerns about a dice-pool system [closed]

I'm writing "yet another rpg system" and I'm choosing a way to determine success. I'd like a dice pool mechanic, and I've come up with this. PCs have characteristics and abilities. Char. Mods will ...
2answers
213 views

### Multiclassing in 3.5e (epic level)

I've started making a character for my first epic level campaign, and I need to know how to add up your BAB in higher levels. I understand that (for example) a +6/+1 BAB and a +2 BAB make a total of +...
2answers
119 views

### What's the probability formula for succeeding at a Complex Skill Check? [closed]

The SRD page for Complex Skill Checks gives percentage numbers for a number of different scenarios. For example, if the required roll on a 1d20 is 2, the chance of success on a simple check is 95% (...
1answer
3k views

### How to address Damage/Toughness bias in M&M Tradeoffs

The Basic Problem Right, Mutants and Masterminds is a True20 system where everything is resolved via rolling a d20. Attacks are made by rolling a d20 and adding the attack bonus, trying to match or ...
0answers
208 views

### Are there any RPGs with an insane amount of stats? [closed]

Are there any RPGs with a ridiculous amount of stats? I'm not looking for an enjoyable play experience, just a game with many stats to see how crazy and complicated it is. (The reason being I want ...
1answer
171 views

### How Do You Determine Static Statistics of Creatures?

I am writing stat blocks for creatures in a D&D module that I am working on with a friend. I am the designer, not the DM and I need to determine static stats for some creatures. Exempli gratia, a ...