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Dice Probablity

This project explores the probability of dice rolls, aiming for a fair outcome of 0.16 for each side. Guided by Prof. Izumori, I built an automatic dice roller to conduct 30,000 rolls. The initial commercially available dice shaker failed, prompting the creation of a self-made roller. Observations revealed the need for greater rolling frequency and improvements to the rolling mechanism. The study includes analyzing the frequency of outcomes based on the number of dots on dice, and innovative approaches to enhance the experimentation tool for accurate probability verification.

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Dice Probablity

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  1. Dice Probablity Nakata Ryohei OtaniRyota SakanoMikiyasu

  2. 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.

  3. Commercially Available Dice shaker Fault: Dice come from wrong place Dice doesn’t always roll well

  4. Result

  5. Self-made Dice Roller 1 Fault： It isn’t suited for rolling many dices at the same time.

  6. Result

  7. Observations I • It is essential to roll dice many more times. • It is necessary to make a new automatic dice roller.

  8. Experiment III Saikoron wheel for dice rotation ＷＥＢ camera CPU board Small direct-current motor The breadboard for electronic circuits Switching AC/AD adaptor

  9. Result

  10. 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.

  11. 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.

  12. 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.

  13. Gratitude • Norifumi YAMADA (Professor, Fukui University), • Hitoshi IZUMORI (Professor, Kanagawa University) • Naoki KOBAYASHI (IRISO SEIMITSU Co., Ltd)

  14. Bibliography • "my Arduino work note“(Tetsuya Suzuki work, latosolpublication, 2013) • "Arduino will be begun" (Massimo Banziwork, O`REILLY publication, 2012)

  15. Thank you for listening!

  16. 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

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