Dice Probablity
Nakata Ryohei Otani Ryota Sakano Mikiyasu
Background
We wondered whether the probability of each roll will be equal to 0.16.
Prof. Izumori advised that I should roll dice thirty-‐thousand Imes to invesIgate dice probability. So I decided to make automaIc dice roller.
Commercially Available Dice shaker
Fault: Dice come from wrong place Dice doesn’t always roll well
Result
0.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
300 600 900
roll 1
roll 2
roll 3
roll 4
roll 5
roll 6
Self-‐made Dice Roller 1
Fault: It isn’t suited for rolling many dices at the same Ime.
Result
0.14
0.15
0.16
0.17
0.18
0.19
0.2
300 600 900
roll 1
roll 2
roll 3
roll 4
roll 5
roll 6
ObservaIons I
• It is essenIal to roll dice many more Imes. • It is necessary to make a new automaIc dice roller.
Experiment III Saikoron
wheel for dice rotaIon WEB camera
CPU board Small direct-‐current motor
The breadboard for electronic circuits
Switching AC/AD adaptor
Result
0.14
0.15
0.16
0.17
0.18
0.19
1500 3000 4500 6000 7500 9000 10500
ObservaIons II
•
ObservaIons II
Thus, it can be expected that the more dots, the higher the frequency of rolling that side, and the less dots, the lower the frequency.
Assignment
• finish rolling dice 30,000 Imes and collecIng data.
• improve Saikoron machine as a conInuous experimental tool.
• verify the probability of those dice. • examine the variaIon in the probability aWer changing the center of gravity of the dice.
GraItude
• Norifumi YAMADA (Professor, Fukui University),
• Hitoshi IZUMORI (Professor, Kanagawa University)
• Naoki KOBAYASHI (IRISO SEIMITSU Co., Ltd)
Bibliography
• "my Arduino work note“(Tetsuya Suzuki work, latosol publica<on, 2013)
• "Arduino will be begun" (Massimo Banzi work, O`REILLY publicaIon, 2012)
Thank you for listening!
PreparaIon
1. CPU board Arduino UNO R3 2. micro-‐relay switch (Made in OMRON) G6E-‐134P 3. electronic circuits bread board 4. small DC motor (MabuI motor RE140RA) adached to a
two-‐step pulley 5. dice rotaIng wheel 6. Switching AC adapter (1.5V 600mA) 7. WEB camera ( 3.2million pixel web camera made in
Melco) 8. pulley and rubber ring