File:Jet sans limite valeur.png

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Summary[edit]

Probabilité de faire une valeur avec un « jet sans limite » sur 1d20 :

• une valeur entre 2 et 19 est gardée telle quelle ;
• si l'on tire un 20, on rejoue le dé et on ajoute le résultat ; si le résultat est à nouveau 20, on recommence…
• si l'on tire un 1, on retire un dé et on retranche le résultat ; si le deuxième jet est un 20, on retire un dé et on le retranche…

Certains résultats ne peuvent pas sortir (comme -19, 1, 20, 40…), leur probabilité est donc nulle. Dans une tranche de dix-neuf valeurs, la probabilité est la même, de la forme (0,05ⁿ)×100 où n est le numéro de la tranche.

Tracé avec Scilab.

Probability to have a value with an "open ended" d20 :

• if the value ranges between 2 and 19, it is kept;
• if the value is 20, the die is thrown again and the result is added; when the new result is also 20, play it again etc.
• if the value is 1, the die is thrown again and the result is subtracted; when the second result is 20, the die is thrown again and subtracted etc.

Some values can never be obtained (e.g. -19, 1, 20, 40, tec.), their probability is thus zero. In a set of nineteen values, the probability is the same, equal to (0.05ⁿ)×100 where n is the number of the set.

Drawn with Scilab.

Auteur/author : Christophe Dang Ngoc Chan (cdang)

Licensing[edit]

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