dice probablity nakata ryohei otani ryota sakano mikiyasu
TRANSCRIPT
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