ManaBase Table

Retrouvez plus d'informations sur la génération sous le tableau.
  Casting Cost (C = n'importe quel mana coloré)
CCM 1 2 3 4 5 6 7 8
Terrains "Colorés" C 1C CC 2C 1CC CCC 3C 2CC 1CCC CCCC 4C 3CC 2CCC 1CCCC CCCCC 5C 4CC 3CCC 2CCCC 1CCCCC 6C 5CC 4CCC 3CCCC 2CCCCC 7C 6CC 5CCC 4CCCC 3CCCCC
Synthèse
Nb sources 15 14 22 12 19 24 11 17 22 25 10 16 20 23 26 10 14 18 21 24 9 13 17 20 22 9 13 16 19 21
Détail
6 57.5% 62.3% 19% 68.7% 24.7% 4.3% 75.4% 32.1% 6.8% 0.7% 81.2% 40.5% 10.5% 1.3% 0.1% 86% 48.9% 15.3% 2.4% 0.2% 90% 57.4% 21.5% 4.1% 0.4% 93% 65.7% 28.7% 6.7% 0.7%
7 63.6% 68.5% 24.8% 74.9% 31.8% 7% 81.2% 40.6% 10.9% 1.4% 86.3% 49.9% 16.3% 2.7% 0.2% 90.6% 59.2% 23.3% 4.9% 0.5% 93.8% 68% 31.5% 8.2% 1.1% 95.9% 75.6% 40.3% 12.6% 2%
8 69.3% 74% 30.8% 80.1% 39% 10.3% 85.9% 48.7% 15.7% 2.7% 90.4% 59% 23.2% 5% 0.5% 93.8% 68.4% 32% 8.6% 1.2% 96.2% 76.6% 42.1% 13.8% 2.5% 97.7% 83.5% 52.2% 20.7% 4.6%
9 74.1% 78.6% 37% 84.4% 46.1% 14.2% 89.5% 56.5% 21.3% 4.4% 93.3% 66.9% 30.6% 8% 1.1% 95.9% 76% 41.4% 13.6% 2.4% 97.7% 83.4% 52.5% 20.9% 4.9% 98.7% 89.2% 63.3% 30.2% 8.6%
10 78.4% 82.5% 43% 87.8% 53% 18.7% 92.3% 64% 27.5% 6.8% 95.5% 74.1% 38.6% 12% 2% 97.5% 82.4% 50.6% 19.6% 4.4% 98.7% 88.8% 62.4% 29.3% 8.3% 99.4% 93.2% 73.1% 40.6% 14.4%
11 82.2% 85.9% 48.9% 90.7% 59.4% 23.7% 94.5% 70.5% 34.3% 9.7% 97% 80.1% 46.7% 16.9% 3.4% 98.5% 87.5% 59.5% 26.7% 7.1% 99.3% 92.7% 71.3% 38.6% 13.2% 99.7% 96% 81% 51.8% 21.9%
12 85.3% 88.7% 54.9% 93% 65.5% 29.1% 96.2% 76.3% 41.2% 13.3% 98.1% 85.1% 54.8% 22.5% 5.4% 99.1% 91.3% 67.9% 34.6% 10.8% 99.6% 95.4% 78.9% 48.3% 19.2% 99.9% 97.8% 87.3% 62% 30.4%
13 88.1% 91% 60.3% 94.8% 71.1% 34.7% 97.4% 81.4% 48.3% 17.6% 98.8% 89.1% 62.6% 28.9% 8% 99.5% 94.3% 75.3% 43.3% 15.4% 99.8% 97.3% 85.1% 57.9% 26.7% 99.9% 98.9% 92% 71.5% 40.3%
14 90.5% 93% 65.5% 96.2% 76.2% 40.8% 98.2% 85.7% 55.4% 22.5% 99.3% 92.5% 69.7% 36% 11.1% 99.7% 96.5% 81.8% 51.8% 21.1% 99.9% 98.5% 90.1% 67.2% 35% 100% 99.5% 95.2% 79.8% 51%
15 92.5% 94.6% 70.3% 97.3% 80.7% 46.7% 98.9% 89.4% 62.1% 28% 99.6% 94.9% 76.4% 43.4% 15.3% 99.9% 97.8% 87.1% 60.5% 28% 100% 99.2% 93.8% 75.3% 44.1% 100% 99.8% 97.5% 86.6% 61.2%
16 94.2% 96% 74.8% 98.2% 84.8% 52.7% 99.3% 92.4% 68.6% 33.8% 99.8% 96.8% 82.2% 51.4% 20.1% 99.9% 98.8% 91.3% 68.7% 35.5% 100% 99.6% 96.4% 82.6% 53.9% 100% 99.9% 98.7% 91.8% 70.8%
17 95.6% 97% 79% 98.8% 88.1% 58.7% 99.6% 94.7% 74.7% 40.2% 99.9% 98% 87% 59.1% 25.6% 100% 99.4% 94.5% 76.3% 43.9% 100% 99.9% 98% 88.4% 63.5% 100% 100% 99.5% 95.2% 79.8%
18 96.8% 97.9% 82.6% 99.3% 91.1% 64.5% 99.8% 96.5% 80.3% 46.9% 100% 98.9% 91.1% 66.9% 32% 100% 99.7% 96.8% 82.9% 52.8% 100% 99.9% 99.1% 92.9% 72.8% 100% 100% 99.8% 97.7% 87.2%
19 97.7% 98.5% 86% 99.5% 93.5% 70.2% 99.9% 97.9% 85.1% 53.8% 100% 99.5% 94.3% 74% 39.2% 100% 99.9% 98.3% 88.6% 61.8% 100% 100% 99.6% 96.1% 80.7% 100% 100% 99.9% 99.1% 92.6%
20 98.4% 99% 89% 99.8% 95.6% 75.5% 100% 98.8% 89.4% 60.8% 100% 99.8% 96.6% 80.9% 46.7% 100% 100% 99.2% 93.1% 70.7% 100% 100% 99.9% 98.2% 87.9% 100% 100% 100% 99.7% 96.3%
21 99% 99.4% 91.5% 99.9% 97.1% 80.6% 100% 99.4% 93% 67.8% 100% 99.9% 98.3% 86.9% 55.1% 100% 100% 99.8% 96.2% 79.1% 100% 100% 100% 99.4% 93.2% 100% 100% 100% 99.9% 98.7%
22 99.4% 99.7% 93.9% 100% 98.4% 85.2% 100% 99.8% 95.8% 74.8% 100% 100% 99.3% 91.9% 63.8% 100% 100% 99.9% 98.4% 86.7% 100% 100% 100% 99.9% 97% 100% 100% 100% 100% 99.7%
23 99.7% 99.9% 95.8% 100% 99.2% 89.5% 100% 99.9% 97.9% 81.5% 100% 100% 99.8% 95.9% 72.8% 100% 100% 100% 99.6% 92.9% 100% 100% 100% 100% 99.2% 100% 100% 100% 100% 100%
24 99.9% 100% 97.5% 100% 99.8% 93.4% 100% 100% 99.3% 88.1% 100% 100% 100% 98.6% 81.8% 100% 100% 100% 100% 97.5% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
25 100% 100% 98.9% 100% 100% 96.9% 100% 100% 100% 94.2% 100% 100% 100% 100% 91% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
26 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100% 100%

Dans ces tables, chaque pourcentage veux dire:

  "Combien de chance est-je d'avoir toutes les bon terrains pour lancer mon qui coûte N au tour N alors que j'ai N terrains quelconques ?"

Par conséquent, les mana death sont exclues de ces statistiques.
Le but de ces tables est vraiment d'optimiser les sources de mana pour les jeux multicolores et d'éviter au maximum les color death.

N'hésitez pas à allez voir les articles originaux (ci-dessous) avec les explications complètes (articles en anglais).
PS: il est donc normal d'avoir de meilleures probabilités d'avoir le nombre requis de bonnes sources de mana (par exemple 2 sur 8 sources possibles) sur un nombre total restreint terrains (par exemple 16), que sur un deck en ayant beaucoup (28)

Quelques détails sur l'algo:
  • 1 million de "parties" par case du tableau afin d'avoir des statistique fiables
  • "parties" veut dire ici: Commencer avec 7 cartes, puis piocher N - 1 cartes (on est sur le play), où N = Coût Converti du sort à lancer
  • Mulligan: La règle du London Mulligan est appliquée si nécessaire (3 fois maximum)
  • Mana death: Toute partie qui arrive tour N et qui n'a pas le nombre requis de terrains est exclue des statistiques
  • Temps de calcul: Il a fallu plus de 15h sur un très bon pc pour générer toutes ces tables
  • X %: Ratio N bon terrains sur N terrains quelconques au tour N
       nombre de parties ayant les N bon terrains
X % = --------------------------------------------
       nombre de parties ayant N terrains
        
Sources (anglais):
How Many Colored Mana Sources Do You Need to Consistently Cast Your Spells? A Guilds of Ravnica Update (2018)
Frank Analysis – How Many Colored Mana Sources Do You Need to Consistently Cast Your Spells? (2013)