Menu
News
All News
Dungeons & Dragons
Level Up: Advanced 5th Edition
Pathfinder
Starfinder
Warhammer
2d20 System
Year Zero Engine
Industry News
Reviews
Dragon Reflections
White Dwarf Reflections
Columns
Weekly Digests
Weekly News Digest
Freebies, Sales & Bundles
RPG Print News
RPG Crowdfunding News
Game Content
ENterplanetary DimENsions
Mythological Figures
Opinion
Worlds of Design
Peregrine's Nest
RPG Evolution
Other Columns
From the Freelancing Frontline
Monster ENcyclopedia
WotC/TSR Alumni Look Back
4 Hours w/RSD (Ryan Dancey)
The Road to 3E (Jonathan Tweet)
Greenwood's Realms (Ed Greenwood)
Drawmij's TSR (Jim Ward)
Community
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions, OSR, & D&D Variants
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Resources
Wiki
Pages
Latest activity
Media
New media
New comments
Search media
Downloads
Latest reviews
Search resources
EN Publishing
Store
EN5ider
Adventures in ZEITGEIST
Awfully Cheerful Engine
What's OLD is NEW
Judge Dredd & The Worlds Of 2000AD
War of the Burning Sky
Level Up: Advanced 5E
Events & Releases
Upcoming Events
Private Events
Featured Events
Socials!
EN Publishing
Twitter
BlueSky
Facebook
Instagram
EN World
BlueSky
YouTube
Facebook
Twitter
Twitch
Podcast
Features
Top 5 RPGs Compiled Charts 2004-Present
Adventure Game Industry Market Research Summary (RPGs) V1.0
Ryan Dancey: Acquiring TSR
Q&A With Gary Gygax
D&D Rules FAQs
TSR, WotC, & Paizo: A Comparative History
D&D Pronunciation Guide
Million Dollar TTRPG Kickstarters
Tabletop RPG Podcast Hall of Fame
Eric Noah's Unofficial D&D 3rd Edition News
D&D in the Mainstream
D&D & RPG History
About Morrus
Log in
Register
What's new
Search
Search
Search titles only
By:
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions, OSR, & D&D Variants
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Menu
Log in
Register
Install the app
Install
Upgrade your account to a Community Supporter account and remove most of the site ads.
Rocket your D&D 5E and Level Up: Advanced 5E games into space! Alpha Star Magazine Is Launching... Right Now!
Community
General Tabletop Discussion
*Dungeons & Dragons
Skill challenges in 5e - Math help!
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Reply to thread
Message
<blockquote data-quote="pemerton" data-source="post: 6364998" data-attributes="member: 42582"><p>Other than skills and rituals, you mean?</p><p></p><p></p><p>4e is based around much higher chances of success than 2 in 5 (which is what Quickleaf indicated upthread: +2 bonus vs DC 15). Most of the checks in a skill challenge will be Medium, and a character who is proficient in a skill, or has a good stat, should succeed at a Medium check around 2/3 of the time. If the character is proficient and has a good stat that success rate may be closer to 9 in 10. And that's before factoring in items, power bonuses etc.</p><p></p><p>Also, once the number of success required gets beyond 6 before 3 failures, 4e (post-Essentials) has the somewhat ad hoc system of "advantages" - basically, ways to mitigate adverse odds by column-shifting DCs or undoing failures.</p><p></p><p>Here is the "7 before 3" maths for a success chance of 3 in 4, which is not a bad generalisation for the bare bones of 4e:</p><p></p><p>The chances of 7 successes in a row is 3^7 over 4^7. This = 2187 in 16384.</p><p></p><p>The chance of 7 successes and 1 failure is 3^7 * 1 [for the failure] * 7 [because there are 7 "slots" into which the failure might fall, before the final success], all over 4^8. Which equals 2187*7 = 15309 in 65536.</p><p></p><p>The chance of 7 successes and 2 failures is 3^7 * 1^2 [for the 2 failures] * [the number of ways of allocating 2 "slots" out of 8 to failures, = 8!/6!2! = 8*7/2 = 28]. So 2187 * 1 * 28 = 61236 , all over 4^9 = 262144.</p><p></p><p>Adding all these together over a common denominator:</p><p></p><p>(2187*16 + 15309*4 + 61236)/262144</p><p></p><p>= (34922+ 61236 + 61236)/262144</p><p> </p><p>= 157394/262144</p><p></p><p>which is just a tiny bit more than 60%.</p><p></p><p>In practice, in 4e, I think the chance tends to be higher because of advantages, the ability to gain bonuses that lift the chance above 3/4, etc.</p><p></p><p></p><p>To get a 3/4 success chance in 5e (ie succeed on a 6 or better on d20), assuming a typical bonus of around +2, is going to require DCs of 8. Even if DCs are 10, the chances of success for characters with a +2 bonus (ie succeed on 8 or better on d20) is going to drop markedly.</p><p></p><p>If we treat a chance of 13/20 as a 2/3 chance (because I'm not going to do maths that involves 13^7!), then we get the following:</p><p></p><p>The chances of 7 successes in a row is 2^7 over 3^7. This = 128 in 2187.</p><p></p><p>The chance of 7 successes and 1 failure is 2^7 * 1 [for the failure] * 7 [because there are 7 "slots" into which the failure might fall, before the final success], all over 3^8. Which equals 128*7 = 896 in 6561.</p><p></p><p>The chance of 7 successes and 2 failures is 2^7 * 1^2 [for the 2 failures] * [the number of ways of allocating 2 "slots" out of 8 to failures, = 8!/6!2! = 8*7/2 = 28]. So 128 * 1 * 28 = 3584, all over 3^9 = 19683.</p><p></p><p>Adding all these together over a common denominator:</p><p></p><p>(128*9 + 896*3 + 3584)/19683</p><p></p><p>= (1152+ 2688+ 3584)/19683</p><p> </p><p>= 7424/19683</p><p></p><p>which is between 37% and 38%.</p><p></p><p></p><p>I don't think that's very viable, myself. It also shows that, with these sorts of numbers, the presence or absence of Guidance will make a very big difference to success rates.</p></blockquote><p></p>
[QUOTE="pemerton, post: 6364998, member: 42582"] Other than skills and rituals, you mean? 4e is based around much higher chances of success than 2 in 5 (which is what Quickleaf indicated upthread: +2 bonus vs DC 15). Most of the checks in a skill challenge will be Medium, and a character who is proficient in a skill, or has a good stat, should succeed at a Medium check around 2/3 of the time. If the character is proficient and has a good stat that success rate may be closer to 9 in 10. And that's before factoring in items, power bonuses etc. Also, once the number of success required gets beyond 6 before 3 failures, 4e (post-Essentials) has the somewhat ad hoc system of "advantages" - basically, ways to mitigate adverse odds by column-shifting DCs or undoing failures. Here is the "7 before 3" maths for a success chance of 3 in 4, which is not a bad generalisation for the bare bones of 4e: The chances of 7 successes in a row is 3^7 over 4^7. This = 2187 in 16384. The chance of 7 successes and 1 failure is 3^7 * 1 [for the failure] * 7 [because there are 7 "slots" into which the failure might fall, before the final success], all over 4^8. Which equals 2187*7 = 15309 in 65536. The chance of 7 successes and 2 failures is 3^7 * 1^2 [for the 2 failures] * [the number of ways of allocating 2 "slots" out of 8 to failures, = 8!/6!2! = 8*7/2 = 28]. So 2187 * 1 * 28 = 61236 , all over 4^9 = 262144. Adding all these together over a common denominator: (2187*16 + 15309*4 + 61236)/262144 = (34922+ 61236 + 61236)/262144 = 157394/262144 which is just a tiny bit more than 60%. In practice, in 4e, I think the chance tends to be higher because of advantages, the ability to gain bonuses that lift the chance above 3/4, etc. To get a 3/4 success chance in 5e (ie succeed on a 6 or better on d20), assuming a typical bonus of around +2, is going to require DCs of 8. Even if DCs are 10, the chances of success for characters with a +2 bonus (ie succeed on 8 or better on d20) is going to drop markedly. If we treat a chance of 13/20 as a 2/3 chance (because I'm not going to do maths that involves 13^7!), then we get the following: The chances of 7 successes in a row is 2^7 over 3^7. This = 128 in 2187. The chance of 7 successes and 1 failure is 2^7 * 1 [for the failure] * 7 [because there are 7 "slots" into which the failure might fall, before the final success], all over 3^8. Which equals 128*7 = 896 in 6561. The chance of 7 successes and 2 failures is 2^7 * 1^2 [for the 2 failures] * [the number of ways of allocating 2 "slots" out of 8 to failures, = 8!/6!2! = 8*7/2 = 28]. So 128 * 1 * 28 = 3584, all over 3^9 = 19683. Adding all these together over a common denominator: (128*9 + 896*3 + 3584)/19683 = (1152+ 2688+ 3584)/19683 = 7424/19683 which is between 37% and 38%. I don't think that's very viable, myself. It also shows that, with these sorts of numbers, the presence or absence of Guidance will make a very big difference to success rates. [/QUOTE]
Insert quotes…
Verification
Post reply
Community
General Tabletop Discussion
*Dungeons & Dragons
Skill challenges in 5e - Math help!
Top