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For instance, 4d6−L means a roll of 4 six-sided dice, dropping the lowest result. This application skews the probability curve towards the higher numbers, as a result a roll of 3 can only occur when all four dice come up 1 (probability 1 / 1,296 ), while a roll of 18 results if any three dice are 6 (probability 21 / 1,296 ...
Keep the two highest as used in Marvel Heroic Roleplaying and other Cortex Plus games is a hybrid with the roll-over system, which uses the dice pool's ability to add modifiers without introducing much math while having the simplicity of traditional roll-over. Some results are botches again as used in Marvel Heroic Roleplaying and other Cortex ...
A set of dice is intransitive (or nontransitive) if it contains X>2 dice, X1, X2, and X3... with the property that X1 rolls higher than X2 more than half the time, and X2 rolls higher than X3 etc... more than half the time, but where it is not true that X1 rolls higher than Xn more than half the time.
In order to successfully make a throw, the character must roll dice (often a single 20-sided die ("d20") or three six-sided dice ("3d6")), achieving a result based on the calculated value of the saving throw which is compared against a success value.
Five dice showing 41,256, which denotes "monogram" on an updated EFF cryptographic word list. 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.
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A come-out roll of 2, 3, or 12 is called "craps" or "crapping out", [3]: 76 and anyone betting the Pass line loses. On the other hand, anyone betting the Don't Pass line on come out wins with a roll of 2 or 3 and ties (pushes) if a 12 is rolled; in some rules, the 2 pushes instead of the 12, in which case the 3 and 12 win a Don't Pass bet.
A very common notation, considered a standard, expresses a dice roll as nds or nDs, where n is the number of dice rolled and s is the number of sides on each die; if only one die is rolled, n is normally not shown. For example, d4 denotes one four-sided die; 6d8 means the player should roll six eight-sided dice and sum the results.