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This gives us the distribution of spots on the faces of a pair of Sicherman dice as being {1,2,2,3,3,4} and {1,3,4,5,6,8}, as above. This technique can be extended for dice with an arbitrary number of sides.
A long die intended to be rolled lengthwise. When the die is rolled, one edge (rather than a side) appears facing upwards. On either side of each edge the same number is printed (from 1 to 3). The numbers on either side of the up-facing edge are read as the result of the die roll. 4 Capped 4-sided long die: A long die intended to be rolled ...
Die B has sides 1, 1, 6, 6, 8, 8. Die C has sides 3, 3, 5, 5, 7, 7. The probability that A rolls a higher number than B , the probability that B rolls higher than C , and the probability that C rolls higher than A are all 5 / 9 , so this set of dice is intransitive.
Diceware is a method for creating passphrases, passwords, and other cryptographic variables using ordinary dice as a hardware random number generator. For each word in the passphrase, five rolls of a six-sided die are required. The numbers from 1 to 6 that come up in the rolls are assembled as a five-digit number, e.g. 43146. That number is ...
These include whether a specially marked die (called the Mayhem die) has rolled highest, the lowest number rolled, and whether any two dice show the same number. One other commonly used variant of the 6-sided dice roll is the d3, which is a 6-sided die roll, with the result divided by 2. The average result is 2, and the standard deviation is 0.816.
Sum of all dice 3 of a Kind Three or more dice having the same number. Sum of all dice Straight 1-2-3-4-5 or 2-3-4-5-6 (There is no "Small Straight" in Kismet.) 30 Flush All dice showing the same color. 35 Full House Any Three-of-a-Kind and a pair; color is not important. Sum of all dice + 15 Full House Same Color