I just rolled double fives, four times in a row, in a game of backgammon. Kinda weirded out a little here...
Are the dice here really random?
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- Chouxflower
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- Jest Phulin
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- Joined: 08 July 2013, 21:50
Re: Are the dice here really random?
Post by Jest Phulin »
The probability of rolling double 5s is 1:36. Therefore, the probability of rolling 4 double 5s in a row is 1:1679616. But, I'm pretty sure this post would have been made if it were double 3s, or double 2s, or any set of 4 of the same doubles in a row. That makes the probability 6:1,679,616, or 1:279,936.
Looking at the statistics page on backgammon, it looks like the average game takes between 25 and 26 rolls. Dividing, this makes the probability about 1:11000 per game of it happening. Again from the stat page, the average player takes 7132 minutes to play the game (including turn-based and real-time). This puts the average game taking a little less than 5 days. Currently, there are 750 turn-based games happening. I'm not going to consider the real-time, as that varies throughout the day. Using 750 games with the average game being 5 days gives roughly 150 games per day. It is probably higher since I'm not considering real-time as I don't have access to those numbers. So, combining that with the 1:11000 per game of it happening, it looks like this is expected to happen about once every 74 days. Again, this is on the low end. It probably happens more often than that.
There is nothing wrong with the dice determination on this site based on this. The human mind is poor at determining what is really random. You might want to read the section on die rolls in the FAQ linked at the bottom of this page .
Also, consider that the chances of winning the most common type of lottery (pick 6 numbers from a pool of 49) is 1:13,983,816 Yet people win.
Looking at the statistics page on backgammon, it looks like the average game takes between 25 and 26 rolls. Dividing, this makes the probability about 1:11000 per game of it happening. Again from the stat page, the average player takes 7132 minutes to play the game (including turn-based and real-time). This puts the average game taking a little less than 5 days. Currently, there are 750 turn-based games happening. I'm not going to consider the real-time, as that varies throughout the day. Using 750 games with the average game being 5 days gives roughly 150 games per day. It is probably higher since I'm not considering real-time as I don't have access to those numbers. So, combining that with the 1:11000 per game of it happening, it looks like this is expected to happen about once every 74 days. Again, this is on the low end. It probably happens more often than that.
There is nothing wrong with the dice determination on this site based on this. The human mind is poor at determining what is really random. You might want to read the section on die rolls in the FAQ linked at the bottom of this page .
Also, consider that the chances of winning the most common type of lottery (pick 6 numbers from a pool of 49) is 1:13,983,816 Yet people win.
Re: Are the dice here really random?
At the moment, about 60800 real-time backgammon games were played in april (and 5500 turn-based). So in average more than 2000 per day. (In february it was almost 23000 real-time and 3500 turn-based.) So it is not surprising at all that rolling 4 doubles in a row happens several times a month on BGA. If some day it happens that dozens of 4 doubles in a row are reported in the forum in a year, this would be a sign that something may be wrong.Jest Phulin wrote: ↑24 April 2020, 00:17Currently, there are 750 turn-based games happening. I'm not going to consider the real-time, as that varies throughout the day. Using 750 games with the average game being 5 days gives roughly 150 games per day. It is probably higher since I'm not considering real-time as I don't have access to those numbers.
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- ↳ Stalk exchange
- ↳ Sir Ocelot's cave
- ↳ Claim
- ↳ Shifting Stones
- ↳ Quarto
- ↳ Art Decko
- ↳ Age of Civilization
- ↳ Carnegie
- ↳ Mesos
- ↳ Hidden Leaders
- ↳ Yokai
- ↳ Battle of LITS
- ↳ Conspiracy
- ↳ Dice Hospital: ER – Emergency Roll
- ↳ Minnesota Whist
- ↳ Let's Catch the Lion!
- ↳ Luxor
- ↳ Forks: 2nd Edition
- ↳ Color Pop
- ↳ Kamon
- ↳ Scratch and Catch
- ↳ Bubblee Pop
- ↳ Qu4to
- ↳ Cephalopod
- ↳ Tablut
- ↳ 12 Chip Trick
- ↳ icecoldicehockey
- ↳ Cucumber
- ↳ German Whist
- ↳ Shogun
- ↳ Oriflamme
- ↳ Bower
- ↳ Verona Twist
- ↳ Balloon Pop!
- ↳ None Shall Pass!
- ↳ District Noir
- ↳ It's a Wonderful Kingdom
- ↳ Refuge
- ↳ Seikatsu
- ↳ Quadrata Canada
- ↳ Applejack
- ↳ The Itty Bitty Card Game
- ↳ Treos
- ↳ Kulami
- ↳ Happy City
- ↳ Paper World
- ↳ Coin Age
- ↳ Trailblazers
- ↳ Roll Into Town
- ↳ The Hanging Gardens
- ↳ Dungeon Rummy
- ↳ Road to 300
- ↳ Circle of Life
- ↳ Kingscraft
- ↳ Caper: Europe
- ↳ President
- ↳ Gomoku
- ↳ GoldnCrash
- ↳ Takara Island
- ↳ Sherlock 13
- ↳ Choconnect
- ↳ Mapmaker: The Gerrymandering Game
- ↳ The Jelly Monster Lab
- ↳ Pente
- ↳ Shut the Box
- ↳ Tiwanaku
- ↳ China Gold
- ↳ Ginkgopolis
- ↳ Mythicals the boardgame
- ↳ Seotda
- ↳ Dragon Castle
- ↳ Bug
- ↳ Bunny Drops
- ↳ Sfynx
- ↳ Classified Information
- ↳ Little Factory
- ↳ Metro
- ↳ Thurn and Taxis
- ↳ Cake Master
- ↳ Sneferu: Builders of the Pyramids
- ↳ Pocket Cats
- ↳ Orion Duel
- ↳ Propuh
- ↳ Piratas!
- ↳ Streetcar
- ↳ Mind Up!
- ↳ Blooms
- ↳ Diamonds
- ↳ The Last
- ↳ Con Sonar!
- ↳ Love Links
- ↳ Caravan
- ↳ Moon River
- ↳ Jekyll vs. Hyde
- ↳ Sergeant Major
- ↳ ECK
- ↳ Battlegammon
- ↳ Via Magica
- ↳ Expeditions: around the world
- ↳ Newton
- ↳ EKONOS
- ↳ Mexica
- ↳ 42
- ↳ Cosmos: Empires
- ↳ Architects of Amytis
- ↳ Tiny Turbo Cars
- ↳ Ekko
- ↳ Kami
- ↳ Karvi
- ↳ Crazy Farmers
- ↳ Masters of Renaissance: Lorenzo il Magnifico – The Card Game
- ↳ Siam
- ↳ Aniversus
- ↳ Uptown
- ↳ Kabaleo
- ↳ Qamgo
- ↳ Hex
- ↳ Nibble
- ↳ Medina
- ↳ Room 25
- ↳ Duck & Cover
- ↳ Simplicity
- ↳ Haggis
- ↳ Buttons
- ↳ Big Two
- ↳ Kahuna
- ↳ Hadara
- ↳ Ynaros Fallin
- ↳ Skate Legend
- ↳ Finca
- ↳ Calypso
- ↳ Bacon
- ↳ Age of Champagne
- ↳ Tulip & Rose
- ↳ L'Oracle B.A-BET
- ↳ Ultimate Tic-Tac-Toe
- ↳ Battle Spirits Saga
- ↳ Veletas
- ↳ GOLDblivion
- ↳ Zola
- ↳ Quirky Quarks
- ↳ 99 (trick-taking card game)
- ↳ Forbidden Island
- ↳ Elfenland
- ↳ Apocalypse au Zoo de Carson City
- ↳ High Season
- ↳ Flaming Pyramids
- ↳ Oxono
- ↳ Equinox
- ↳ Connect6
- ↳ Illustori
- ↳ Sahwari
- ↳ Dicy Cards
- ↳ Geek Out! Masters
- ↳ The Gnomes of Zavandor
- ↳ The Fox in the Forest
- ↳ Forever Home
- ↳ Neom
- ↳ SetUp
- ↳ Steam Works
- ↳ On Tour
- ↳ Spring Cleaning
- ↳ Ice and the Sky
- ↳ Zefiria
- ↳ Konane
- ↳ Homesteaders
- ↳ The King's Guild
- ↳ 3000 Scoundrels
- ↳ Florenza: The Card Game
- ↳ Thermopyles
- ↳ The Fox in the Forest: Duet
- ↳ Power Vacuum
- ↳ Vault A Den of Thieves
- ↳ Coal Baron
- ↳ Unrest
- ↳ Okanagan: Valley of the Lakes
- ↳ Nacho Pile
- ↳ Hack Trick
- ↳ That Time You Killed Me
- ↳ Sobek
- ↳ Yaniv
- ↳ Almadi
- ↳ Looot
- ↳ Romi Rami
- ↳ Battle Sheep
- ↳ Forage
- ↳ Batalla de Coronas
- ↳ Solar Storm
- ↳ Loco Momo
- ↳ Cardiceo
- ↳ GrumbleStone
- ↳ Trike
- ↳ Legendary Inventors
- ↳ Koryŏ
- ↳ That's Life!
- ↳ Lielow
- ↳ Dark Agent
- ↳ Wastelandia
- ↳ Flowers: A Mandala Game
- ↳ Solo Whist
- ↳ Copenhagen
- ↳ HUND
- ↳ Flip Freighters
- ↳ Sapiens
- ↳ Boreal
- ↳ Eminent Domain: Microcosm
- ↳ Maps of Misterra
- ↳ Micro Midgard
- ↳ All In
- ↳ OASIS New Hope
- ↳ Castles of Caleira
- ↳ Goblin Hood
- ↳ For the King (and Me)
- ↳ Starship Merchants
- ↳ Evergreen
- ↳ Boomerang: Australia
- ↳ Once Upon A Forest
- ↳ Megalomania
- ↳ Caribbean All Fours
- ↳ Cradle to Grave
- ↳ Le Roy des Ribauds
- ↳ Palace
- ↳ Dice Summoners
- ↳ Divercité
- ↳ The Battle for Hill 218
- ↳ Yokai Septet
- ↳ Astra
- ↳ Insert
- ↳ Niagara
- ↳ gaia
- ↳ Number Drop
- ↳ Rest In Peace
- ↳ Vidrasso
- ↳ The Ruhr: A Story of Coal Trade
- ↳ United Square
- ↳ Noir: Killer versus Inspector
- ↳ Diced Tomatoes
- ↳ The Builders: Antiquity
- ↳ Meridians
- ↳ Barbu
- ↳ Dinosaur Tea Party
- ↳ Origin
- ↳ Exit Strategy
- ↳ Spirits of the Forest
- ↳ Boss Quest
- ↳ Expedition: Northwest Passage
- ↳ Through the Ages
- ↳ 24/7: The Game
- ↳ Whist 22
- ↳ Gift of Tulips
- ↳ Volfyirion Guilds
- ↳ Zuuli
- ↳ FIKA
- ↳ Don't Go In There
- ↳ Vaalbara
- ↳ Humanity
- ↳ Neutreeko
- ↳ Hawaii
- ↳ Xanadu
- ↳ Murus Gallicus
- ↳ Colorado
- ↳ The Mother Road: Route 66
- ↳ Secret Moon
- ↳ Diablo
- ↳ Nain Jaune
- ↳ HUGO
- ↳ Robots Ate Our Pizza
- ↳ I'm The Boss
- ↳ Empire Plateau: The Lateral Thinking Tactical Strategy Wargame
- ↳ Micro Dojo
- ↳ Ghost At Home
- ↳ Rift Valley Reserve
- ↳ Legend Raiders
- ↳ Betta
- ↳ Streets
- ↳ cucco
- ↳ Tumbleweed
- ↳ Crazy Eights
- ↳ Hypnosia
- ↳ Mia
- ↳ Crime Zoom: A Dirty Objective
- ↳ Oust
- ↳ Line It
- ↳ Crypt
- ↳ Silo
- ↳ Knockout Whist
- ↳ Legends of Hellas
- ↳ Las Vegan
- ↳ Raubbau
- ↳ Tucano
- ↳ Lifeline
- ↳ Rive
- ↳ Sensei
- ↳ Hungarian Tarokk
- ↳ Impasse
- ↳ Drones vs Seagulls
- ↳ Stir Fry Eighteen
- ↳ Trusis
- ↳ Gosu
- ↳ Look at the Stars
- ↳ Schrödinger's Cats
- ↳ Cubosaurs
- ↳ Canosa
- ↳ Hydroracers
- ↳ Yin Yang
- ↳ Fairy Trails
- ↳ Veggie Garden
- ↳ mow
- ↳ Chocolate Factory
- ↳ 8 Masters' Revenge
- ↳ Noah
- ↳ Amyitis
- ↳ Signorie
- ↳ Injawara
- ↳ Regidice
- ↳ Pedro
- ↳ Factum
- ↳ Kingdoms
- ↳ Baby Dinosaur Rescue
- ↳ Vege Tables
- ↳ Egocentric World
- ↳ EpiZodiak
- ↳ Blue Skies
- ↳ Fai-fo
- ↳ Sobek 2 players
- ↳ Senshi
- ↳ Big Monster
- ↳ Small Islands
- ↳ Lineae
- ↳ Mascarade
- ↳ Dragon Keeper: The Dungeon
- ↳ Icebreaker
- ↳ Yspahan
- ↳ Iwari
- ↳ Nicodemus
- ↳ Eruption
- ↳ Troyes Dice
- ↳ Morocco
- ↳ SteamRollers
- ↳ Blaze
- ↳ Madeira
- ↳ Exploration: Warzone
- ↳ Tea Time
- ↳ Zener
- ↳ Penalty Challenge
- ↳ EVL
- ↳ Lost Explorers
- ↳ Herrlof
- ↳ Turn the tide
- ↳ Off the Rails
- ↳ Krosmaster Blast
- ↳ Grand Bazaar
- ↳ Grosstarock
- ↳ Trick of the Rails
- ↳ Rolled West
- ↳ NXS
- ↳ Hoarders
- ↳ Saint Poker
- ↳ Bombay
- ↳ Nautilus
- ↳ Cinco
- ↳ Gopher
- ↳ The Void
- ↳ Metromania
- ↳ Guildes
- ↳ KQJ
- ↳ Phat
- ↳ Penny Press
- ↳ Quantik
- ↳ Mammalath
- ↳ Uncle Chestnut's Table Gype
- ↳ ToeShamBo
- ↳ Biyi
- ↳ Nanga Parbat
- ↳ Diam's
- ↳ Coup
- ↳ Gear & Piston
- ↳ GORami
- ↳ Dragon Line
- ↳ Outlaws: Last Man Standing
- ↳ Tiki
- ↳ Gygès
- ↳ Khronos
- ↳ Outlaws: Last Man Standing
- ↳ 13 Leaves
- ↳ 15 Days
- ↳ 15 Jours en France
- ↳ 5Pairs
- ↳ A Fistful of Gold
- ↳ APEX
- ↳ AVES
- ↳ Alakablast
- ↳ Amazonas
- ↳ Apocalypse au Zoo de Carson City
- ↳ Arabella
- ↳ Auntie Mildred's list of random tasks
- ↳ Aurum
- ↳ Bamboozle
- ↳ Battleships Pencil & Paper
- ↳ Bauer
- ↳ Bebop
- ↳ Bids
- ↳ Bizarre Manor
- ↳ Blast Radius
- ↳ Block Arena
- ↳ Blooms
- ↳ Blot
- ↳ Bug Off
- ↳ Bunny Boom
- ↳ CATsle Builder
- ↳ Cannonades
- ↳ Capybara'n'Capyabara
- ↳ Carcassonne
- ↳ Cassino
- ↳ Catatac
- ↳ Chandigarh
- ↳ Cheez-Tricks
- ↳ Churn
- ↳ Circle Of Life: on the Savannah
- ↳ Coffee
- ↳ Coins
- ↳ Coloretto
- ↳ Confusing Lands
- ↳ Cookie battle
- ↳ Crash
- ↳ Crash & Grab
- ↳ Crits & Tricks
- ↳ Custodian Dice
- ↳ Dance of Muses
- ↳ Deck EXPRESS: Tennessee Central
- ↳ Deck EXPRESS: Tennessee Central
- ↳ Deliverance
- ↳ Detective Poker
- ↳ Dickory
- ↳ Digging For Dinos
- ↳ Dobro
- ↳ Draft Cider
- ↳ Dragon Keeper, The Dungeon
- ↳ DragonOverload
- ↳ Dragonarium
- ↳ Enemy Anemone
- ↳ Eriantys
- ↳ Expressions
- ↳ Falconry
- ↳ Festi’vibes
- ↳ Fibonachos
- ↳ Fight the Landlord
- ↳ Finity
- ↳ Five Three Five
- ↳ Flockers
- ↳ Flume
- ↳ For-Ex
- ↳ Four Gardens
- ↳ Fox on the Tree
- ↳ GIPF
- ↳ Galactic Era
- ↳ Game of Trains
- ↳ Garden Nation
- ↳ Gems of Iridescia
- ↳ Get on Board: Paris & Roma
- ↳ Get the MacGuffin
- ↳ Go_sandboxversion
- ↳ Golems
- ↳ Good Fortune
- ↳ Gravity Superstar
- ↳ Greasy Spoon
- ↳ Group
- ↳ Grund
- ↳ Guile
- ↳ Gunsen
- ↳ Gyges
- ↳ Hadron
- ↳ Hamsters vs Hippos
- ↳ Hawaiian Hanafuda
- ↳ Heckin Hounds
- ↳ Herooj
- ↳ Hey! That's my fish
- ↳ Hypnosia
- ↳ Hội Phố (Second Edition)
- ↳ Isaac
- ↳ Kaiser
- ↳ Kani Nari Ebi
- ↳ Khiva
- ↳ Khronos
- ↳ Kinapa
- ↳ Kmakici Family's greatest teatime
- ↳ Knister
- ↳ Kraken Up
- ↳ Les toits de Paris
- ↳ Lewis & Clark
- ↳ Livingstone
- ↳ Logger
- ↳ Lunar
- ↳ Maatatahay
- ↳ Malabares
- ↳ Mango
- ↳ Mattock
- ↳ Meadow
- ↳ Metz
- ↳ Mighty
- ↳ Minefield
- ↳ Minhwatu
- ↳ Mod Ten
- ↳ Monster Factory
- ↳ Monster Hex
- ↳ Monster Smash
- ↳ Moolight: The Land of the Wolves
- ↳ Mutant Crops
- ↳ Nap
- ↳ Narabi
- ↳ Natural Chaos
- ↳ Neon Reign
- ↳ Nylon-ppong
- ↳ ONE
- ↳ Olenon
- ↳ Onda
- ↳ Open Season
- ↳ Paikō
- ↳ Palourde
- ↳ Park Life
- ↳ Penny Press
- ↳ Persona Non Grata
- ↳ Pescado Novo
- ↳ Piepmatz
- ↳ Pier 18
- ↳ Piles!
- ↳ Pirates Under Fire
- ↳ Pondscape
- ↳ Pook
- ↳ Positano
- ↳ Puerto Rico
- ↳ Quest Inc.
- ↳ Quiltable
- ↳ Quinque
- ↳ Quintus
- ↳ Race for the Galaxy
- ↳ Redstone
- ↳ Relative Space
- ↳ Roppyakken
- ↳ Rowdy Partners
- ↳ Rumble Planet
- ↳ Safari Witness
- ↳ Sasaki
- ↳ Savanna Ten
- ↳ Scratch and Catch
- ↳ Scream Park
- ↳ Sea Shells
- ↳ Seven Knights Bewitched
- ↳ Sheep Boom Bah
- ↳ Shokoba
- ↳ Skirmish: Battle for Draconia
- ↳ Slambo
- ↳ Snorkeling
- ↳ Sobek 2 players
- ↳ Soulaween
- ↳ Spellcrafter
- ↳ Splitter
- ↳ Squadro
- ↳ Stigméria
- ↳ Stonks
- ↳ Strategic Reserve
- ↳ Strawberry Sunset
- ↳ Sunrise Sunset
- ↳ Suspeição
- ↳ Tapas
- ↳ The Battle for Hill 218
- ↳ The Great American Fox Hunt
- ↳ The Great Split
- ↳ The King of the Woods
- ↳ The Little Flower Shop
- ↳ The Nine Domains
- ↳ Tholos
- ↳ Thrive
- ↳ Tien Len
- ↳ Time Splicers
- ↳ Tiny Farms
- ↳ Toepen
- ↳ Tomatoss
- ↳ TriATri
- ↳ Trickarus
- ↳ Troggu
- ↳ Twin Palms
- ↳ Two-Ten-Jack
- ↳ Unane
- ↳ Up or Down?
- ↳ Vegetable Stock
- ↳ Verdant Arizona
- ↳ Via Gladiola
- ↳ Vizia
- ↳ Waddle
- ↳ Wana
- ↳ Whist
- ↳ Wolf and Sheep
- ↳ Word Traveler
- ↳ Xxung
- ↳ Yokai Pagoda
- ↳ Yoxii
- ↳ Zookeepers
- ↳ texasbingo
- ↳ Àiyé
- ↳ Écarté