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Dice Probablity. Nakata Ryohei Otani Ryota Sakano Mikiyasu. Background. We wondered whether the probability of each roll will be equal to 0.16.
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Dice Probablity Nakata Ryohei OtaniRyota SakanoMikiyasu
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 times to investigate dice probability. So I decided to make automatic dice roller.
Commercially Available Dice shaker Fault: Dice come from wrong place Dice doesn’t always roll well
Self-made Dice Roller 1 Fault: It isn’t suited for rolling many dices at the same time.
Observations I • It is essential to roll dice many more times. • It is necessary to make a new automatic dice roller.
Experiment III Saikoron wheel for dice rotation WEB camera CPU board Small direct-current motor The breadboard for electronic circuits Switching AC/AD adaptor
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, latosolpublication, 2013) • "Arduino will be begun" (Massimo Banziwork, O`REILLY publication, 2012)
Preparation • CPU boardArduinoUNOR3 • micro-relay switch(Made in OMRON)G6E-134P • electronic circuits bread board • small DC motor (Mabuti motor RE140RA) attached to a two-step pulley • dice rotating wheel • Switching AC adapter (1.5V600mA) • WEBcamera( 3.2million pixel web camera made in Melco) • pulley and rubber ring