Standard Banner:

Breakdown per Patch:

paimon shop (acquainted fates, 42 days worth) = 7 pulls

battle pass (acquainted fates) = 5 pulls

total: 12 pulls

8,6 patch x 12 pulls = 103.2 pulls per year

(*if hard pity) = 1.15 x 5☆ guaranteed

(*if soft pity) = 1.36 x 5☆ estimated

Step-by-Step Calculation Breakdown (Character & Weapon Banners)

1. Average Soft Pity Estimation:

• 583.4 pulls ÷ 76 soft pity threshold = 7.68 total 5☆ items

1. Character Banner Worst-Case Scenario:

• Total 5☆ Guaranteed: 583.4 pulls ÷ 90 hard pity = 6.48 total 5☆ characters
• On-Banner Guaranteed: 6.48 ÷ 2 = 3.24 featured 5☆ characters (since every lost 50/50 guarantees the next featured character)

1. Weapon Banner Worst-Case Scenario:

• Total 5☆ Guaranteed: 583.4 pulls ÷ 80 hard pity = 7.29 total 5☆ weapons
• On-Banner Guaranteed: 7.29 ÷ 2 = 3.64 featured 5☆ weapons (since reaching 1 Fate Point guarantees the next 5☆ weapon as the targeted promotional weapon)

Yearly 5☆

Step-by-Step Calculation Breakdown (Standard Banner)

1. Per-Patch Acquaint Fate Total:

• Paimon's Bargains Shop: 5 Acquaint Fates per calendar month. Over a 42-day patch cycle (1.4 months): 5 × 1.4 = 7.0 Acquaint Fates
• Battle Pass (Free Tier): 5 Acquaint Fates per patch
• Patch Total: 7.0 + 5.0 = 12.0 Acquaint Fates per patch

1. Annual Acquaint Fate Total:

• 8.6 patches × 12 Fates = 103.2 pulls per year

1. 5☆ Standard Pull Yield Estimations:

• Hard Pity (90 pulls): 103.2 pulls ÷ 90 = 1.15 × 5☆ guaranteed
• Soft Pity (76 pulls average): 103.2 pulls ÷ 76 = 1.36 × 5☆ estimated

4☆ Calculation

all-time 4☆ total in 1 year = 80 guaranteed

(all banners included)

1 year = 113,520 primogems = 709.5 pulls

on character or weapon banner:

- 8 (removing 5☆) = 701 pulls left

(4☆ hard pity is 10 on all banners) = 70 x 4☆ guaranteed

(if all soft pity at 7) = 100 x 4☆ estimated

(if generally under 5 pity each time) = 140 x 4☆ est.

———

on standard banner:

8.6 patch x 12 pulls = 103.2 pulls

- 1 (removing 5☆) = 102 pulls left

(4☆ hard pity is 10 on all banners) = 10.2 x 4☆ guaranteed

(if all soft pity at 7) = 14.5 x 4☆ estimated

(if generally under 5 pity each time) = 20.4 x 4☆ est.

Step-by-Step Calculation Breakdown

1. Limited Banner 4☆ Yield (✧113,520 / ✵709.5 Total Pulls):

• Net Pull Pool Adjustment: Subtract 8 pulls used for obtaining 5☆ items: 709.5 - 8 = 701.5 net pulls.
• Hard Pity Guarantee (10 pulls/4☆): 701.5 ÷ 10 = 70.15 × 4☆ items guaranteed.
• Soft Pity Average (7 pulls/4☆): 701.5 ÷ 7 = 100.21 × 4☆ items estimated.
• Lucky Average (<5 pulls/4☆, using 5 threshold): 701.5 ÷ 5 = 140.30 × 4☆ items estimated.

1. Standard Banner 4☆ Yield (✵103.2 Total Pulls):

• Net Pull Pool Adjustment: Subtract 1 pull used for obtaining a 5☆ item: 103.2 - 1.2 = 102.0 net pulls.
• Hard Pity Guarantee (10 pulls/4☆): 102.0 ÷ 10 = 10.20 × 4☆ items guaranteed.
• Soft Pity Average (7 pulls/4☆): 102.0 ÷ 7 = 14.57 × 4☆ items estimated.
• Lucky Average (<5 pulls/4☆, using 5 threshold): 102.0 ÷ 5 = 20.40 × 4☆ items estimated.

1. Combined Annual Total (All Banners):

• Guaranteed Minimum (10 Pity): 70.15 + 10.20 = 80.35 × 4☆ items guaranteed per year.
• Estimated Average (7 Pity): 100.21 + 14.57 = 114.78 × 4☆ items estimated per year.
• Lucky Average (5 Pity): 140.30 + 20.40 = 160.70 × 4☆ items estimated per year.

Starglitter Count

8 (5☆) = 8 x 10 starglitter = 80

80 (4☆) = 80 x 2 starglitter = 160

total = 240 starglitter

Stardust Count

709.5 + 103.2 = 812.7 pulls (all-time per year)

- 88 (removing 5☆ & 4☆) = 724.7 x 15 stardust

total = 10,870.5 stardust

Kindly let me know if I miss out anything

*If you can only 3-star up to 11-2,

your yearly guaranteed is 7.2 x 5☆

Extra:

✓ New Area only gives additional ✧1,000 - ✧2,000 primogem at most.

✓ Doesn't happen on every patch, irregular occurance.

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