Cults
![Plinko (Galton Board, Binomial Distribution, Bernoulli Trials)](/previews/2984525.jpg)
Plinko (Galton Board, Binomial Distribution, Bernoulli Trials)
by Cults
Last crawled date: 6 years, 3 months ago
Plinko (Galton Board, Binomial Distribution, Bernoulli Trials)
The Plinko Game, also known as a Galton Board, is a fascinating tool for students to experience and think about the laws of probability. For example, if you toss four fair coins, what is the probability that you end up with 2 head and 2 tails? In other words, if you drop a ball into the plinko opening, how likely is it going to the middle drawer? This type of problem is related to the binomial distribution, combinatorial counting, Pascal’s triangle, etc.
The Plinko design here has four layers and measures approximately 127mm x 110mm x 86mm, meaning it can be printed on most small 3D printers. The space between the pins is 16.1mm, allowing the use of marbles that is less than 16mm in diameter. Two balls, measuring 15mm and 15.8mm in diameter, are included. For easy printing, the balls are split into halves with internal adjustments for easy printing and assembly. If the connector is not tight enough, a drop of glue might be useful. Standards marbles work just as well.
Warning: Small parts can be dangerous for children when swallowed; please educate children not to put little things into their mouth and follow all safety rules when working with young children. Have fun!
References
1. https://en.wikipedia.org/wiki/Bernoulli_trial
2. http://mathworld.wolfram.com/GaltonBoard.html
3. https://phet.colorado.edu/en/simulation/plinko-probability
The Plinko Game, also known as a Galton Board, is a fascinating tool for students to experience and think about the laws of probability. For example, if you toss four fair coins, what is the probability that you end up with 2 head and 2 tails? In other words, if you drop a ball into the plinko opening, how likely is it going to the middle drawer? This type of problem is related to the binomial distribution, combinatorial counting, Pascal’s triangle, etc.
The Plinko design here has four layers and measures approximately 127mm x 110mm x 86mm, meaning it can be printed on most small 3D printers. The space between the pins is 16.1mm, allowing the use of marbles that is less than 16mm in diameter. Two balls, measuring 15mm and 15.8mm in diameter, are included. For easy printing, the balls are split into halves with internal adjustments for easy printing and assembly. If the connector is not tight enough, a drop of glue might be useful. Standards marbles work just as well.
Warning: Small parts can be dangerous for children when swallowed; please educate children not to put little things into their mouth and follow all safety rules when working with young children. Have fun!
References
1. https://en.wikipedia.org/wiki/Bernoulli_trial
2. http://mathworld.wolfram.com/GaltonBoard.html
3. https://phet.colorado.edu/en/simulation/plinko-probability
Similar models
cults
free
![Connect Four, Pattern Game](/t/2990258.jpg)
Connect Four, Pattern Game
...d. please keep them away from small children and educate all children not to put little toys in their mouth. otherwise, have fun!
cults
free
![Fast printer and material test](/t/2976962.jpg)
Fast printer and material test
...curacy of the printer when testing a new material.
also you can see how a double cone is printed and how it works with stringing.
cults
free
![Snap Stick, Bar, Interlocking, Math](/t/2985652.jpg)
Snap Stick, Bar, Interlocking, Math
...arious lengths and see how children can make with them. as alwasys, remember to observe safety rules when working with children.
cults
free
![Marble Roller Machine](/t/2990394.jpg)
Marble Roller Machine
...to supply your own 9/16" marbles. you can purchase similar versions from amazon: http://amzn.to/2clytrw build instructions for this...
cults
$2
![Fishing lures](/t/2992082.jpg)
Fishing lures
...the lure so that it works even better.
be careful that the balls are inserted during printing. they will remain locked up inside.
cults
free
![Bomb Bay / Chute for Dynam SkyMule](/t/2991523.jpg)
Bomb Bay / Chute for Dynam SkyMule
...flour... :-) fits with 2 servos hitec hs-55 or similar easy to print and assemble. how it works you...
cults
free
![Chute / Bomb Bay for MPX FunCup](/t/2991524.jpg)
Chute / Bomb Bay for MPX FunCup
...flour... :-) fits with 2 servos hitec hs-55 or similar easy to print and assemble. how it works you...
cults
free
![Miniature Bowling Game](/t/2986687.jpg)
Miniature Bowling Game
...in by geoffro:
https://www.thingiverse.com/geoffro/about
bowling pin by mninventer:
https://www.thingiverse.com/mninventer/about
cults
free
![Day 2: the "Spring Ball"](/t/2983772.jpg)
Day 2: the "Spring Ball"
...ght inward pressure. the ball then began to swirl about herself and, thanks to the energy created, flew to the designated person.
cults
free
![Cloud support ball](/t/2977621.jpg)
Cloud support ball
...ball
cults
a small cloud create to support ball dragons of diameter about 70mm.
can support any other sphere very elegant way :)
Trials
cults
free
![G-Bustr Logo (Trial Assembly version) for Single Extruder](/t/2989025.jpg)
G-Bustr Logo (Trial Assembly version) for Single Extruder
...xt coming version will be for printers with dual extruder. also some improvement is already planned.
if you like it, stay tuned.
cults
$1
![Moon cake moulding](/t/2976456.jpg)
Moon cake moulding
...beautiful, as i just lilies, so only this design :p
as for the 2.1 is the mini mooncakes as for the other is the big moon cakes.
cults
free
![Illusion](/t/2990439.jpg)
Illusion
...ww.instructables.com/id/wooden-illusion/
watching the video is the easiest way to see how it works:
https://youtu.be/b3vbazp2cl8
cults
free
![Clamp to absolute uselessness](/t/2987001.jpg)
Clamp to absolute uselessness
...1x handle - 1x ring1 - 1x ring2 - 4x connecting rod1 - 4x connecting rod2 cad files fusion360 available at http://a360.co/2pkugvj
cults
free
![Pool-Fish](/t/2991445.jpg)
Pool-Fish
...we do and my kids started their first diving trials yesterday. and quickly: "daaaaad, we need something to dive.......
cults
free
![Ready to Print Model of a Lion](/t/2990546.jpg)
Ready to Print Model of a Lion
...s they have a trial period of one month and later pay only $4.99/
check more details about selfcad here: https://www.selfcad.com
cults
free
![Prusa i3 Center Spool Holder](/t/2988982.jpg)
Prusa i3 Center Spool Holder
...support.
check out more pictures and details of my design on my blog:
http://kiltedcraftworks.com/2017/12/16/prusa-spool-upgrade
cults
free
![Magic Triangle, Math Puzzle](/t/2993616.jpg)
Magic Triangle, Math Puzzle
...group of young children, who solved them after many trials and errors. i had to use a sheet of...
cults
free
![70mm 12-blade EDF fan. Fits Starmax F-5 EDF.](/t/2980350.jpg)
70mm 12-blade EDF fan. Fits Starmax F-5 EDF.
...ller12 is the 12 blade fan.
cone01 is the cone that goes in front of the fan.
cone02 is a cone for the back of the motor housing.
Trial
cults
free
![G-Bustr Logo (Trial Assembly version) for Single Extruder](/t/2989025.jpg)
G-Bustr Logo (Trial Assembly version) for Single Extruder
...xt coming version will be for printers with dual extruder. also some improvement is already planned.
if you like it, stay tuned.
cults
$1
![Moon cake moulding](/t/2976456.jpg)
Moon cake moulding
...this is a mooncakes mould i create for a trial to make the stuff work! i just hope it...
cults
free
![Illusion](/t/2990439.jpg)
Illusion
...the instructions on how it was built. with some trial and error, i recreated the illusion. build instructions: https://www.instructables.com/id/wooden-illusion/...
cults
free
![Clamp to absolute uselessness](/t/2987001.jpg)
Clamp to absolute uselessness
...clamp to absolute uselessness cults trial under fusion 360, with the sole purpose of testing...
cults
free
![Pool-Fish](/t/2991445.jpg)
Pool-Fish
...we do and my kids started their first diving trial yesterday. and quickly: "daaaaad, we need something to dive.......
cults
free
![Ready to Print Model of a Lion](/t/2990546.jpg)
Ready to Print Model of a Lion
...teachers and for the general users they have a trial period of one month and later pay only $4.99/...
cults
free
![Prusa i3 Center Spool Holder](/t/2988982.jpg)
Prusa i3 Center Spool Holder
...area to reduce rolling resistance. after a bit of trial and error this is what i came up with....
cults
free
![Magic Triangle, Math Puzzle](/t/2993616.jpg)
Magic Triangle, Math Puzzle
...group of young children, who solved them after many trial and errors. i had to use a sheet of...
cults
free
![70mm 12-blade EDF fan. Fits Starmax F-5 EDF.](/t/2980350.jpg)
70mm 12-blade EDF fan. Fits Starmax F-5 EDF.
...the holes around the hub of the fan by trial and error. hold the duct in your hand and...
Distribution
cults
free
![Distribution disk](/t/2990461.jpg)
Distribution disk
...distribution disk
cults
very useful for the distribution or other
calibration printing test ...
cults
free
![Scan 3D stone doe](/t/2982818.jpg)
Scan 3D stone doe
...par photogrammétrie : logiciel utilisé, micmac compilé pour la distribution self os et appareil photo nikon coolpix b500. 32...
cults
$2
![American fist](/t/2987518.jpg)
American fist
...r, very comfortable, not to use on the public way etc. etc ... know that it is your responsibility to properly use this deterrent
cults
free
![BOX PET-FEEDER BY DAMAJU](/t/2983230.jpg)
BOX PET-FEEDER BY DAMAJU
...l. it allows to distribute the kibble at fixed times and controlled dose, in your presence, but especially in your absence!"
cults
free
![Self OS](/t/2979776.jpg)
Self OS
...le servez-vous made in france ! basé sur la distribution ubuntu et sur l'environnement lxde ( lubuntu ) reconnu...
cults
free
![Day 20: The tree snowflake](/t/2983719.jpg)
Day 20: The tree snowflake
... now fly. to respect their pact, they went to santa's house to help him distribute gifts and joy into homes around the world.
cults
free
![Tapirus terrestris, Lowland Tapir skull](/t/2984476.jpg)
Tapirus terrestris, Lowland Tapir skull
...american tapir (tapirus bairdii), in northern colombia, although these distributionl data are scanty. the fourth extant tapir species is...
cults
$1
![Painless bicycle](/t/2983443.jpg)
Painless bicycle
...wo symetrical models, so you can print the one from the side you usually carry the bike (test yourself with one before printing).
cults
free
![Elite Dangerous Asp Explorer Custom Keyring](/t/2989301.jpg)
Elite Dangerous Asp Explorer Custom Keyring
...work is strictly fanart and not meant for commercial distribution all respected trade marks are property of frontier...
Math
cults
free
![Math Gear(s)](/t/2987499.jpg)
Math Gear(s)
...math gear(s)
cults
math gear(s)
math gear(s)
cults
free
![Funnel Flow Science / Math Project](/t/2983687.jpg)
Funnel Flow Science / Math Project
...funnel flow science / math project
cults
funnel flow science / math project
funnel flow science / math project
cults
free
![Sand castle build with math function](/t/2982497.jpg)
Sand castle build with math function
...sand castle build with math function
cults
math sand castle build with function
sand castle build with math function
cults
free
![Extensible Arithmetic Spinner, Math Spinner, Math Wand, Snap Spinner](/t/2984460.jpg)
Extensible Arithmetic Spinner, Math Spinner, Math Wand, Snap Spinner
... to remove a ring after assembly, please use a flat-end screw driver and slowly pry it off. have fun and help kids do some math!
cults
free
![Math Puzzle: Cube Hexagonal Dissection](/t/2985670.jpg)
Math Puzzle: Cube Hexagonal Dissection
...ultiple pieces, one can build other shapes. great for children to develop (or rather maintain their natural) spatial imagination!
cults
free
![Spinner, Math, Probability](/t/2990261.jpg)
Spinner, Math, Probability
...s one get a vowel?
reference:
bu, l. & fernandez, m. https://www.maa.org/external_archive/joma/volume7/bu/spinner.html
cults
free
![Pattern Blocks, Math, Geometry, Art](/t/2985664.jpg)
Pattern Blocks, Math, Geometry, Art
... regular set of pattern blocks.
the individual pieces are built with reference to a square that is 20mm x 20mm x 8mm. have fun!
cults
free
![Geoboard, Geometric Board, Cartesian, Isometic, Circular, Geometry, Math](/t/2985666.jpg)
Geoboard, Geometric Board, Cartesian, Isometic, Circular, Geometry, Math
... no support or raft.
references:
https://en.wikipedia.org/wiki/geoboard
https://www.pinterest.com/theremademama/math-geoboards/
cults
free
![Origami, German Bell, Math, Geometry](/t/2990264.jpg)
Origami, German Bell, Math, Geometry
...design project as a complement to the traditional paper model.
the thicker versions may work better, depending on the filament.
cults
free
![Snap cube, interlocking, math, snap cubes](/t/2988959.jpg)
Snap cube, interlocking, math, snap cubes
...using fusion 360.
please use an infill greater than 20% for strength and try the fairly tight version, to begin with. have fun!
Probability
cults
free
![Spinner, Math, Probability](/t/2990261.jpg)
Spinner, Math, Probability
...s one get a vowel?
reference:
bu, l. & fernandez, m. https://www.maa.org/external_archive/joma/volume7/bu/spinner.html
cults
free
![Dice, Die, probability](/t/2985668.jpg)
Dice, Die, probability
...ly, i think we might need to balance the center of mass. anyway, i added a traditional set. thanks for the feedback and support.
cults
$1
![Ultimaker 2 - Print Head Top Replacement Part](/t/2976996.jpg)
Ultimaker 2 - Print Head Top Replacement Part
...ommend to print it with petg (or abs), no supports needed. i have successfully printed it with makerbot replicator and ultimaker.
cults
free
![Swing - Cutlery Drainer](/t/2991928.jpg)
Swing - Cutlery Drainer
... decorating it with this practical and functional cutlery drainer.
designed by: [beelab](https://www.facebook.com/paolo3dprint/)
cults
free
![The Airship](/t/2986478.jpg)
The Airship
... in the sky during sporting events, but they also used to be an important part of air travel.
this one was designed by makerbot.
cults
free
![Toy Train Wheel](/t/2986422.jpg)
Toy Train Wheel
...cement wheel for a toy train.
probably can be used for other toy designs build from scratch.
wheel diameter is 37.4 mm
axis 3 mm
cults
free
![ColorFabb spool filament tidy](/t/2992025.jpg)
ColorFabb spool filament tidy
...w filament end to be kept in place when stored.
designed for colorfabb spools, but works on monsterfill too and probably others.
cults
free
![Kids Bike Handlebar Grips](/t/2989473.jpg)
Kids Bike Handlebar Grips
...dlebra grip i made for my daughters kickbike but it will probably fit a kids bicycle aswell.
3d printed in ninjaflex, 15% infill.
cults
free
![Poppit Blowgun](/t/2991489.jpg)
Poppit Blowgun
... to reduce chance of inhaling the ammunition.
use at own risk!
given the tall, thin shape, probably best to print with a brim.
cults
free
![GoPro Lens Protector](/t/2982845.jpg)
GoPro Lens Protector
...s onto the lens to protect it from impacts.
obviously it doesn´t prtect the entire camera but it´s probably better than nothing.
Board
cults
free
![Game Board](/t/2992451.jpg)
Game Board
...game board
cults
game board
game board. you need to print 4 pieces.
cults
free
![Unblock Board Game](/t/2984726.jpg)
Unblock Board Game
...unblock board game
cults
unblock board game
unblock board game
cults
free
![Cyvasse Board (Variant)](/t/2988529.jpg)
Cyvasse Board (Variant)
...cyvasse board (variant)
cults
cyvasse board (variant)
cyvasse board (variant)
cults
free
![partition board hanger](/t/2987335.jpg)
partition board hanger
...partition board hanger
cults
partition board hanger
partition board hanger
cults
free
![Board holder](/t/2985347.jpg)
Board holder
...board holder
cults
board holder stl 3dp hamedani
نگهدارنده قاب عکس شاسی
برای پرینتر سه بعدی
www.aparat.com/mrahnama
cults
$2
![Penny Board](/t/2979374.jpg)
Penny Board
...youtube video: https://www.youtube.com/watch?v=qunz5niawsm
instructables: http://www.instructables.com/id/3d-printed-pennyboard/
cults
free
![Galleon Board Game Piece](/t/2988873.jpg)
Galleon Board Game Piece
...galleon board game piece
cults
galleon board game piece
galleon board game piece
cults
free
![Chemical Chess Set and Board](/t/2978608.jpg)
Chemical Chess Set and Board
...chemical chess set and board
cults
chemical chess set and board
chemical chess set and board
cults
free
![Board Sling](/t/2991211.jpg)
Board Sling
...oard on each side between the deck and the trucks. thread a 2” strap of your choice through the hooks and attach to the hardware.
cults
free
![Tsuro Game Board](/t/2986504.jpg)
Tsuro Game Board
...game board_game_mods tabletop tsuro
designed a tsuro board to hold your tiles in place...that's right, no more moving tiles.