Combination Formulas
Mining Tasks and Equipment Interaction
In this section, we will discuss how different combinations of equipment and mine selections can impact the distribution of resources, NFT lottery tickets, and the time required to complete mining tasks. We will provide examples for Basic, Advanced, and Master Extraction tasks with varying equipment and mine modifiers.
Formulas for Adjusting Resource Distribution Chances based on Equipment and Mine Rarity Boosts:
Adjusted Resource Distribution Chances = Base Chance * (1 + Equipment Rarity Boost)
Adjusted NFT Lottery Ticket Chance = Base NFT Chance * MIN(1 + Equipment NFT Luck Boost, 2)
Adjusted Time for Task Completion = Base Task Time * MAX(1 - Equipment Time Reduction Boost, 0.3)
Example Scenarios: *Average values, overall payout can be higher or lower depending on luck*
Using a combination with each type of equipment on User Slots for Basic Extraction and Treasure Hunt. Other tasks and equipment rarities follow the same base formula for rewards. Considering average values for IRON = 50 AWC, Silver = 100 AWC, Gold = 500 AWC, Mysterious Gem= 1000 AWC Common Drill + Common Pickaxe + Common Gloves on Common Mine (Owned by miner) Total Power: 1+1+1 = 3 Total Resource Luck: 0+0+5 = 5% Total NFT Luck: 5+0+0 = 5% Total Time Boost: 0+5+0 =5% Common Mine Resource Boost: 0% If the above combination is used on following tasks over 10 equipment uses (before requiring cooldown) the average payout can be calculated as follows for Basic and Advanced Extraction- Basic Extraction (20% 1 Silver, 80% 1 IRON) 3X Common Equipment Adjusted Resource Luck, added 5% probability to Silver and Gold, and reduced from Iron
Silver = 20 + (5/100x20) = 21.3 Iron = 80 - (5/100x80) = 76.5 Adjusted Iron Luck = 76 * 100/95.1 = 78.36% ~ 78% Adjusted Silver Luck = 21 * 100/95.1 = 21.64% ~ 22% Payout after 10 tasks, considering average odds 3(Power)* 2.1 * 1 (Silver)= 6.3 Silver 3(Power)* 7.8 * 1 (Iron) = 23.4 Iron Average total payout = 1200 + 630 = 1840 AWC/ 10 tasks ~ 1.58 days ( 4 hour per task -5%) Minimum and Maximum payouts can range from 3 Iron to 3 Silver , or 150 to 300 AWC 3X Rare Equipment Adjusted Resource Luck, added 5% probability to Silver and Gold, and reduced from Iron Total Power: 9 Total Rluck: 18, Total NLuck: 18, Total Time Boost: 18
Silver = 20 + (18/100x20) = 23.6 Iron = 80 - (18/100x80) = 65.6 Adjusted Iron Luck = 65.6 * 100/89.2 = 73.54% ~ 74% Adjusted Silver Luck = 23.6 * 100/89.2 = 26.45% ~ 26% Payout after 10 tasks, considering average odds 9(Power)* 2.6 * 1 (Silver)= 23.4 Silver 9(Power)* 7.4 * 1 (Iron) = 66.6 Iron Average total payout = 2340 + 3330 = 5670 AWC/ 10 tasks ~ 1.36 days ( 4 hour per task - 18%) Minimum and Maximum payouts can range from 9 Iron to 9 Silver, or 450 - 900 AWC 3X Legendary Equipment Adjusted Resource Luck, added 5% probability to Silver and Gold, and reduced from Iron
Total Power: 18 Total Rluck: 32, Total NLuck: 32, Total Time Boost: 32
Silver = 20 + (32/100x20) = 26.4 Iron = 80 - (32/100x80) = 54.4 Adjusted Iron Luck = 54.4* 100/80.8 = 67.32% ~ 67% Adjusted Silver Luck = 26.4* 100/80.8 = 32.67% ~ 33% Payout after 10 tasks, considering average odds 18(Power)* 3.3 * 1 (Silver)= 59.4 Silver 18(Power)* 6.7 * 1 (Iron) = 120.6 Iron Average total payout = 5940 + 6030 = 11970 AWC/ 10 tasks ~ 1.13 days ( 4 hour per task- 32%) Minimum and Maximum payouts can range from 18 Iron to 18 Silver, or 900 - 1800 AWC Treasure Hunt (1% NFT Ticket, 5% 0.25 MYSTGEM , 15% 0.3 GOLD, 38% 1.0 SILVER , 40% 1.3 IRON) ---Treasure Hunt can also earn NFT tickets not counted in profit here. 3X Common Equipment Adjusted Resource Luck, added 5% probability to Gold + MystGem, and reduced from Iron + Silver Iron = 40 - (5/100 * 40) = 38% Silver = 38 - (5/100 * 38) = 36.1% Gold = 15 + (5/100 * 15) = 15.75% MystGem = 5 + (5/100 * 5)= 5.25% Adjusted NFT Luck = 1 + (5/20) = 1.25% Adjusted Iron Luck = 38 * 100/95.1 = 39.95% Adjusted Silver Luck = 36.1 * 100/95.1 = 37.96% Adjusted Gold Luck = 15.75 * 100/95.1 = 16.53% Adjusted MystGem Luck = 5.25 * 100/95.1 = 5.52%
Payout after 10 tasks, considering average odds: 1 (NFT Ticket) * 0.1 = 0.1 NFT Tickets (average) 3 (Power) * 4 (average odds) * 1.3 (Iron) = 15.6 Iron 3 (Power) * 3.8 (average odds) * 1.0 (Silver) = 11.4 Silver 3 (Power) * 1.7 (average odds) * 0.3 (Gold) = 1.5 Gold 3 (Power) * 0.6 (average odds) * 0.25 (MystGem) = 0.45 MystGem Average total payout = 725 + 1140 + 750 + 450 = 3028 AWC / 10 tasks ~ 5 days The minimum and maximum payouts for each task can vary from 3.9 Iron to 0.75 MystGem, or 2000 AWC - 7500 AWC over 10 tasks. 3X Rare Equipment Adjusted Resource Luck, added 18% probability to Gold + MystGem, and reduced from Iron + Silver Iron = 40 - (18/100 * 40) = 33% Silver = 38 - (18/100 * 38) = 31% Gold = 15 + (18/100 * 15) = 18% MystGem = 5 + (18/100 * 5)= 6% Adjusted NFT Luck = 1 + (18/20) = 2% Adjusted Iron Luck = 33 * 100/88 = 37% Adjusted Silver Luck = 31* 100/88 = 34% Adjusted Gold Luck = 18 * 100/88 = 20% Adjusted MystGem Luck = 6 * 100/88 = 7%
Payout after 10 tasks, considering average odds:
1 (NFT Ticket) * 0.2 = 0.2 NFT Tickets (average) 9 (Power) * 3.7 (average odds) * 1.3 (Iron) = 42.74 Iron 9 (Power) * 3.4 (average odds) * 1.0 (Silver) = 31.15 Silver 9 (Power) * 2.0 (average odds) * 0.3 (Gold) = 5.4 Gold 9 (Power) * 0.7 (average odds) * 0.25 (MystGem) = 1.56 MystGem Average total payout = 2150 + 3115 + 2700 + 1560 = 9525 AWC / 10 tasks ~ 5 days
The minimum and maximum payouts for each task can vary from 11.7 Iron to 2.25 MystGem, or 6000 AWC - 22500 AWC over 10 tasks.
3X Legendary Equipment Adjusted Resource Luck, added 32% probability to Gold + MystGem, and reduced from Iron + Silver: Iron = 40 - (32/100 * 40) = 27.2% Silver = 38 - (32/100 * 38) = 25.84% Gold = 15 + (32/100 * 15) = 19.8% MystGem = 5 + (32/100 * 5) = 7.6%
Adjusted NFT Luck = 1 + (32/20) = 3%
Adjusted Iron Luck = 27 * 100/82 = 32% Adjusted Silver Luck = 26 * 100/82 = 31% Adjusted Gold Luck = 20 * 100/82= 24% Adjusted MystGem Luck = 8 * 100/82 = 10%
Payout after 10 tasks, considering average odds:
1 (NFT Ticket) * 0.3 = 0.3 NFT Tickets (average) 18 (Power) * 3.2 (average odds) * 1.3 (Iron) = 74.88 Iron 18 (Power) * 3.1 (average odds) * 1.0 (Silver) = 54 Silver 18 (Power) * 2.4 (average odds) * 0.3 (Gold) = 13 Gold 18 (Power) * 1 (average odds) * 0.25 (MystGem) = 4.5 MystGem
Average total payout = 3750+ 5400 + 1300 + 4500 = 14,950 AWC / 10 tasks ~ 5 days
The minimum and maximum payouts for each task can vary from 23.4 Iron to 4.5 MystGem or 12000 AWC - 45000 AWC over 10 tasks.
Please note that these calculations are based on the given formulas and assumptions provided. Actual results may vary based on RNG which is transparent on WAX blockchain from orng.wax
**More details to be added**
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