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Markov Chain Quality Reroll Solver: The Exact Probability Math of Masterpiece Gear

Published: June 9, 2026 • By ScanAlbion Editorial Team
Markov Chain Quality Reroll Solver: The Exact Probability Math of Masterpiece Gear

Markov Chain Reroll Solver

Quality rerolling at Repair Stations follows an Absorbing Markov Chain where quality cannot downgrade.

Transition probabilities: Q1->Q5 is 0.1%, Q2->Q5 is 1.0%, Q3->Q5 is 5.0%, Q4->Q5 is 20.0%.

Starting rerolls from Excellent (Q4) reduces expected total silver cost to reach Masterpiece by over 65%!