Problem: A Trick With Dice


Here is a neat little trick with three dice. I ask you to throw the dice without my seeing them. Then I tell you to multiply the points of the first die by $2$ and add $5;$ then multiply the result by $5$ and add the points of the second die; then multiply the result by $10$ and add the points of the third die. You then give me the total, and I can at once tell you the points thrown with the three dice. How do I do it? As an example, if you threw $1, 3,$ and $6,$ as in the illustration, the result you would give me would be $386,$ from which I could at once say what you had thrown.

Solutions: 1

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Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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