Menu
News
All News
Dungeons & Dragons
Level Up: Advanced 5th Edition
Pathfinder
Starfinder
Warhammer
2d20 System
Year Zero Engine
Industry News
Reviews
Dragon 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 Next
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
*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!
Twitch
YouTube
Facebook (EN Publishing)
Facebook (EN World)
Twitter
Instagram
TikTok
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
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Menu
Log in
Register
Install the app
Install
The
VOIDRUNNER'S CODEX
is LIVE! Explore new worlds, fight oppressive empires, fend off fearsome aliens, and wield deadly psionics with this comprehensive boxed set expansion for 5E and A5E!
Community
General Tabletop Discussion
*Pathfinder & Starfinder
Encounter probabilities question?
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="Jack Simth" data-source="post: 2456423" data-attributes="member: 29252"><p>CHOOSE is a function wherein I can't quite remember the standard representation at the moment - basically, it's used for exactly what was asked - figuring out what the probability is of a given number of known and equal-probability events occuring on a given number of chances.</p><p></p><p>You probably remember Pascal's Triangle:</p><p>[code]</p><p> 1</p><p> 1,1</p><p> 1,2,1</p><p> 1,3,3,1</p><p>1,4,6,4,1</p><p>[/code]</p><p>Where each # in the triangle is the sum of the two above it, once you get past the "seed" 1 at the top (there is a faster way to do Z Choose X, but this is more easily comprehensible and doesn't requre any operations more complex than addition and counting).</p><p>Well, the Choose function simply selects a number from there; the 1,1 row is Z = 1, the 1,2,1 row is Z = 2, and so on; X is the number along the row, with the 1 on the far left being position 0; so (3 CHOOSE 2) = 3, (4 CHOOSE 2) = 6. If you have three "decision points", there are: 1 way to come up with no positives (---), 3 ways to come up with one positive(+--, -+-, --+) 3 ways to come up with two positives(++-, +-+, -++) and one way to come up with 3 positives (+++). The CHOOSE function just tells you how many ways there are to come up with exactly the specified number of positives without you having to go through and come up with all of them. It's also a function that is built into the higher-end calculators nowadays. Note that whenever you are looking at "exactly once", it works out to the number of chances for occurance - checking 8 times, there are 8 cases where exactly one encounter happens.</p><p></p><p>I'm sure that was all clear as mud.....</p></blockquote><p></p>
[QUOTE="Jack Simth, post: 2456423, member: 29252"] CHOOSE is a function wherein I can't quite remember the standard representation at the moment - basically, it's used for exactly what was asked - figuring out what the probability is of a given number of known and equal-probability events occuring on a given number of chances. You probably remember Pascal's Triangle: [code] 1 1,1 1,2,1 1,3,3,1 1,4,6,4,1 [/code] Where each # in the triangle is the sum of the two above it, once you get past the "seed" 1 at the top (there is a faster way to do Z Choose X, but this is more easily comprehensible and doesn't requre any operations more complex than addition and counting). Well, the Choose function simply selects a number from there; the 1,1 row is Z = 1, the 1,2,1 row is Z = 2, and so on; X is the number along the row, with the 1 on the far left being position 0; so (3 CHOOSE 2) = 3, (4 CHOOSE 2) = 6. If you have three "decision points", there are: 1 way to come up with no positives (---), 3 ways to come up with one positive(+--, -+-, --+) 3 ways to come up with two positives(++-, +-+, -++) and one way to come up with 3 positives (+++). The CHOOSE function just tells you how many ways there are to come up with exactly the specified number of positives without you having to go through and come up with all of them. It's also a function that is built into the higher-end calculators nowadays. Note that whenever you are looking at "exactly once", it works out to the number of chances for occurance - checking 8 times, there are 8 cases where exactly one encounter happens. I'm sure that was all clear as mud..... [/QUOTE]
Insert quotes…
Verification
Post reply
Community
General Tabletop Discussion
*Pathfinder & Starfinder
Encounter probabilities question?
Top