Cards' probabilities
Case A - No Joker awarded (98.7% of Packs):
| Number of Cards in the Pack | 8 | |||||||
| Card Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| ⭐ | 20% | 10% | 20% | 16% | 10% | – | – | – |
| ⭐⭐ | 15% | 20% | 25% | 35% | 35% | 20% | – | – |
| ⭐⭐⭐ | 25% | 35% | 30% | 29% | 35% | 40% | 70% | – |
| ⭐⭐⭐⭐ | 30% | 35% | 15% | 10% | 15% | 20% | – | 100% |
| ⭐⭐⭐⭐⭐ | 10% | – | 10% | 10% | 5% | 20% | 30% | – |
Case B - Joker awarded (1.3% of Packs):
The Joker replaces 1 of the 8 cards.
| Scenario | Card 1 | Card 2 | Card 3 | Card 4 | Card 5 | Card 6 | Card 7 | Card 8 |
| Joker replaces Card 1 (0.1625%) | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 2 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 3 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 4 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 5 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 6 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 7 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐⭐ 100% | |
| Joker replaces Card 8 (0.1625%) | ⭐ 20% ⭐⭐ 15% ⭐⭐⭐ 25% ⭐⭐⭐⭐ 30% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 20% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 35% | ⭐ 20% ⭐⭐ 25% ⭐⭐⭐ 30% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 10% | ⭐ 16% ⭐⭐ 35% ⭐⭐⭐ 29% ⭐⭐⭐⭐ 10% ⭐⭐⭐⭐⭐ 10% | ⭐ 10% ⭐⭐ 35% ⭐⭐⭐ 35% ⭐⭐⭐⭐ 15% ⭐⭐⭐⭐⭐ 5% | ⭐⭐ 20% ⭐⭐⭐ 40% ⭐⭐⭐⭐ 20% ⭐⭐⭐⭐⭐ 20% | ⭐⭐⭐ 70% ⭐⭐⭐⭐⭐ 30% |
XP probabilities
| Probability | 2.3529% | 7.0588% | 9.4118% | 9.4118% | 9.4118% | 9.4118% | 9.4118% | 7.0588% | 7.0588% | 7.0588% | 7.0588% | 4.7059% | 3.5294% | 3.5294% | 2.3529% | 1.1765% |
| Villages 1 - 8 | 2,000 | 2,200 | 2,500 | 3,000 | 3,500 | 4,000 | 4,500 | 5,000 | 5,500 | 6,000 | 6,500 | 7,000 | 8,500 | 10,000 | 15,000 | 20,000 |
| Villages 9 - 12 | 3,000 | 3,300 | 3,800 | 4,500 | 5,300 | 6,000 | 6,800 | 7,500 | 8,300 | 9,000 | 9,800 | 10,500 | 13,000 | 15,000 | 23,000 | 30,000 |
| Villages 13 - 36 | 4,000 | 4,400 | 5,000 | 6,000 | 7,000 | 8,000 | 9,000 | 10,000 | 11,000 | 12,000 | 13,000 | 14,000 | 17,000 | 20,000 | 30,000 | 40,000 |
| Villages 37 - 128 | 5,000 | 5,500 | 6,300 | 7,500 | 8,800 | 10,000 | 11,500 | 12,500 | 14,000 | 15,000 | 16,500 | 17,500 | 21,000 | 25,000 | 38,000 | 50,000 |
| Villages 129 - 219 | 6,000 | 6,600 | 7,500 | 9,000 | 10,500 | 12,000 | 13,500 | 15,000 | 16,500 | 18,000 | 20,000 | 21,000 | 26,000 | 30,000 | 45,000 | 60,000 |
| Villages 220 - 250 | 7,000 | 7,700 | 8,800 | 10,500 | 12,500 | 14,000 | 16,000 | 17,500 | 19,500 | 21,000 | 23,000 | 25,000 | 30,000 | 35,000 | 53,000 | 70,000 |
| Villages 251 - 300 | 8,000 | 8,800 | 10,000 | 12,000 | 14,000 | 16,000 | 18,000 | 20,000 | 22,000 | 24,000 | 26,000 | 28,000 | 34,000 | 40,000 | 60,000 | 80,000 |
| Villages 301 - 605 | 9,000 | 10,000 | 11,500 | 13,500 | 16,000 | 18,000 | 20,000 | 23,000 | 25,000 | 27,000 | 29,000 | 32,000 | 38,000 | 45,000 | 68,000 | 90,000 |
Energy probabilities
| Probability | 0.0075% | 37.2939% | 52.2115% | 2.9835% | 2.2376% | 1.4918% | 1.1188% | 0.7459% | 0.5221% | 0.4475% | 0.3729% | 0.2984% | 0.1492% | 0.0746% | 0.0373% | 0.0075% |
| All Villages | 200 | 200 | 225 | 225 | 250 | 250 | 275 | 300 | 350 | 400 | 450 | 500 | 550 | 600 | 700 | 1,000 |
Coins' probabilities
| Probability | 0.0059% | 0.2941% | 1.4704% | 5.8817% | 8.8225% | 17.6450% | 44.1124% | 14.7041% | 3.5290% | 1.7645% | 0.8822% | 0.5882% | 0.2941% | 0.0059% |
| Villages 1 - 2 | 200,000 | 250,000 | 300,000 | 350,000 | 500,000 | 600,000 | 800,000 | 1,000,000 | 1,200,000 | 1,600,000 | 2,000,000 | 2,400,000 | 3,000,000 | 4,000,000 |
| Village 3 | 300,000 | 375,000 | 450,000 | 525,000 | 750,000 | 900,000 | 1,200,000 | 1,500,000 | 1,800,000 | 2,400,000 | 3,000,000 | 3,600,000 | 4,500,000 | 6,000,000 |
| Village 4 | 500,000 | 625,000 | 750,000 | 875,000 | 1,250,000 | 1,500,000 | 2,000,000 | 2,500,000 | 3,000,000 | 4,000,000 | 5,000,000 | 6,000,000 | 7,500,000 | 10,000,000 |
| Village 5 | 600,000 | 750,000 | 900,000 | 1,050,000 | 1,500,000 | 1,800,000 | 2,400,000 | 3,000,000 | 3,600,000 | 4,800,000 | 6,000,000 | 7,200,000 | 9,000,000 | 12,000,000 |
| Village 6 | 700,000 | 875,000 | 1,050,000 | 1,225,000 | 1,750,000 | 2,100,000 | 2,800,000 | 3,500,000 | 4,200,000 | 5,600,000 | 7,000,000 | 8,400,000 | 10,500,000 | 14,000,000 |
| Village 7 | 1,200,000 | 1,500,000 | 1,800,000 | 2,100,000 | 3,000,000 | 3,600,000 | 4,800,000 | 6,000,000 | 7,200,000 | 9,600,000 | 12,000,000 | 14,400,000 | 18,000,000 | 25,000,000 |
| Village 8 | 1,800,000 | 2,250,000 | 2,700,000 | 3,150,000 | 4,500,000 | 5,400,000 | 7,200,000 | 9,000,000 | 10,800,000 | 14,400,000 | 18,000,000 | 22,500,000 | 27,500,000 | 35,000,000 |
| Village 9 | 2,400,000 | 3,000,000 | 3,600,000 | 4,200,000 | 6,000,000 | 7,200,000 | 9,600,000 | 12,000,000 | 14,400,000 | 19,200,000 | 25,000,000 | 30,000,000 | 35,000,000 | 50,000,000 |
| Village 10 | 3,900,000 | 4,875,000 | 5,850,000 | 6,825,000 | 9,750,000 | 11,700,000 | 15,600,000 | 19,500,000 | 22,500,000 | 30,000,000 | 40,000,000 | 47,500,000 | 60,000,000 | 80,000,000 |
| Village 11 | 4,900,000 | 6,125,000 | 7,350,000 | 8,575,000 | 12,300,000 | 14,700,000 | 19,600,000 | 25,000,000 | 30,000,000 | 40,000,000 | 50,000,000 | 60,000,000 | 75,000,000 | 100,000,000 |
| Village 12 | 6,900,000 | 8,625,000 | 10,400,000 | 12,100,000 | 17,300,000 | 20,000,000 | 27,500,000 | 35,000,000 | 42,500,000 | 55,000,000 | 70,000,000 | 85,000,000 | 100,000,000 | 150,000,000 |
| Villages 13 - 16 | 7,800,000 | 9,750,000 | 11,700,000 | 13,700,000 | 19,500,000 | 22,500,000 | 30,000,000 | 40,000,000 | 47,500,000 | 60,000,000 | 80,000,000 | 95,000,000 | 125,000,000 | 150,000,000 |
| Villages 17 - 22 | 9,700,000 | 12,100,000 | 14,500,000 | 17,000,000 | 25,000,000 | 30,000,000 | 40,000,000 | 50,000,000 | 60,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 |
| Villages 23 - 26 | 10,300,000 | 12,900,000 | 15,500,000 | 18,000,000 | 25,000,000 | 30,000,000 | 40,000,000 | 50,000,000 | 60,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 |
| Villages 27 - 28 | 10,600,000 | 13,300,000 | 15,900,000 | 18,600,000 | 27,500,000 | 32,500,000 | 42,500,000 | 55,000,000 | 65,000,000 | 85,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 |
| Villages 29 - 31 | 11,000,000 | 13,800,000 | 16,500,000 | 19,300,000 | 27,500,000 | 32,500,000 | 45,000,000 | 55,000,000 | 65,000,000 | 90,000,000 | 100,000,000 | 125,000,000 | 175,000,000 | 225,000,000 |
| Villages 32 - 33 | 11,500,000 | 14,400,000 | 17,300,000 | 20,000,000 | 30,000,000 | 35,000,000 | 45,000,000 | 60,000,000 | 70,000,000 | 90,000,000 | 125,000,000 | 150,000,000 | 175,000,000 | 225,000,000 |
| Villages 34 - 44 | 12,500,000 | 15,600,000 | 18,800,000 | 22,500,000 | 32,500,000 | 37,500,000 | 50,000,000 | 65,000,000 | 75,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 250,000,000 |
| Villages 45 - 60 | 13,100,000 | 16,400,000 | 19,700,000 | 22,500,000 | 32,500,000 | 40,000,000 | 50,000,000 | 65,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 250,000,000 |
| Villages 61 - 65 | 13,400,000 | 16,800,000 | 20,000,000 | 22,500,000 | 32,500,000 | 40,000,000 | 55,000,000 | 65,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 275,000,000 |
| Villages 66 - 77 | 14,400,000 | 18,000,000 | 22,500,000 | 25,000,000 | 35,000,000 | 42,500,000 | 60,000,000 | 70,000,000 | 85,000,000 | 125,000,000 | 150,000,000 | 175,000,000 | 225,000,000 | 300,000,000 |
| Villages 78 - 128 | 18,000,000 | 22,500,000 | 27,500,000 | 32,500,000 | 45,000,000 | 55,000,000 | 70,000,000 | 90,000,000 | 100,000,000 | 150,000,000 | 175,000,000 | 225,000,000 | 275,000,000 | 350,000,000 |
| Villages 129 - 219 | 20,000,000 | 25,000,000 | 30,000,000 | 35,000,000 | 50,000,000 | 60,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 250,000,000 | 300,000,000 | 400,000,000 |
| Villages 220 - 224 | 22,500,000 | 27,500,000 | 32,500,000 | 37,500,000 | 55,000,000 | 65,000,000 | 90,000,000 | 100,000,000 | 125,000,000 | 175,000,000 | 225,000,000 | 275,000,000 | 325,000,000 | 450,000,000 |
| Villages 225 - 250 | 25,000,000 | 32,500,000 | 37,500,000 | 45,000,000 | 65,000,000 | 75,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 250,000,000 | 300,000,000 | 375,000,000 | 500,000,000 |
| Villages 251 - 274 | 27,500,000 | 35,000,000 | 40,000,000 | 47,500,000 | 70,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 225,000,000 | 275,000,000 | 325,000,000 | 400,000,000 | 550,000,000 |
| Villages 275 - 300 | 30,000,000 | 37,500,000 | 45,000,000 | 55,000,000 | 75,000,000 | 90,000,000 | 125,000,000 | 150,000,000 | 175,000,000 | 250,000,000 | 300,000,000 | 350,000,000 | 450,000,000 | 600,000,000 |
| Villages 301 - 325 | 32,500,000 | 40,000,000 | 50,000,000 | 55,000,000 | 80,000,000 | 100,000,000 | 125,000,000 | 150,000,000 | 200,000,000 | 250,000,000 | 325,000,000 | 375,000,000 | 475,000,000 | 650,000,000 |
| Villages 326 - 605 | 35,000,000 | 45,000,000 | 55,000,000 | 60,000,000 | 90,000,000 | 100,000,000 | 150,000,000 | 175,000,000 | 200,000,000 | 275,000,000 | 350,000,000 | 425,000,000 | 525,000,000 | 700,000,000 |