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Dice Probablity
Nakata RyoheiOtani RyotaSakano Mikiyasu
BackgroundWe wondered whether the probability of each roll will be equal to 0.16.
Prof. Izumori advised that I should roll dice thirty-thousand times to investigate dice probability. So I decided to make automatic dice roller.
Commercially Available Dice shaker
Fault:Dice come from wrong placeDice doesn’t always roll well
Result
300 600 9000.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
roll 1roll 2roll 3roll 4roll 5roll 6
Self-made Dice Roller 1
Fault :It isn’t suited for rolling many dices at the same time.
Result
300 600 9000.14
0.15
0.16
0.17
0.18
0.19
0.2
roll 1roll 2roll 3roll 4roll 5 roll 6
Observations I
• It is essential to roll dice many more times.• It is necessary to make a new automatic dice
roller.
Experiment III Saikoronwheel for dice rotation
WEB camera
CPU boardSmall direct-current motor
The breadboard for electronic circuits
Switching AC/AD adaptor
Result
1500 3000 4500 6000 7500 9000 105000.14
0.15
0.16
0.17
0.18
0.19
Observations II
I considered the dots as hemispheres and define their radius as r…
The weight of each side is… 1>2>3>4>5>6 … in this order.
Observations 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 times and collecting data.
• improve Saikoron machine as a continuous experimental tool.
• verify the probability of those dice.• examine the variation in the probability after
changing the center of gravity of the dice.
Gratitude
• 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 publication, 2013)• "Arduino will be begun" (Massimo Banzi work,
O`REILLY publication, 2012)
Thank you for listening!
Preparation
1. CPU board Arduino UNO R32. micro-relay switch (Made in OMRON) G6E-134P3. electronic circuits bread board4. small DC motor (Mabuti motor RE140RA) attached to a
two-step pulley5. dice rotating wheel6. Switching AC adapter (1.5V 600mA)7. WEB camera ( 3.2million pixel web camera
made in Melco)8. pulley and rubber ring