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Board notes

Expected value model

Chest EV = UF ticket EV + rarity loot EV

UF ticket EV = P(UF drop) × UF market value

Run EV ≈ Σ(chest EV) + Σ(? value) - path/trap/opportunity costs

Chest cap is 7. The run itself only ends when you manually end it or lose all life.

Natural rarity distribution

Rarity	Chance	EV role
Green	27.5544%	Low loot, still one UF check.
Blue	41.3316%	Low loot, better upgrade base.
Purple	25.295%	Known value starts mattering.
Gold	5.399%	Primary premium target.
Red	0.38%	High premium target.
Rainbow	0.02%	Top natural result.

Chest quantity and EV

Normal board generation places 10–13 total chests before filling remaining tiles with non-chest outcomes. Chest quantity controls Undetermined Fate checks; rarity controls normal loot EV.

Expected UF checks = E[collected chest count]

Expected UF value = E[chest count] × P(UF drop) × UF market value

Expected rarity value = Σ rarity_weight × loot_value(rarity)

Arcana Tarot Minigame

Arcana minigame route testing, upgrade timing, final-tile cycling, and special board setup support.

Starting hand Board

Reward chest slots

Live loot in the same 4 + 3 chest layout used by the game.

No chests collected yet.

⚙Autoplay SetupStrategy + combo

Autoplay assumes value recovery backtracking by default.

Strategy Combo Backtrack

▣Route NotesRecommendation details

☰Run LogHistory

Arcana Board

Current Preview Landing #Row Path

Cards in Play Current move + stored hand

Select a card to preview its landing tile.

Arcana Math, Boards & Strategy Notes

Natural chest rarity distribution

Rarity	Probability
Green	27.5544%
Blue	41.3316%
Purple	25.295%
Gold	5.399%
Red	0.38%
Rainbow	0.02%

Reward model

Chest EV = fixed Undetermined Fate check + rarity-scaled normal loot Undetermined Fate EV per chest = UF drop chance × UF market value

Upgrade-card rule

Shown: Red → Rainbow Can upgrade: green → blue blue → purple purple → gold gold → red red → rainbow Rule: any chest at or below shown rarity gets +1 rarity

Strategy1

Orange/red/rainbow = highest known value.
Purple+ respected; do not skip reasonable purple+.
Green/blue are low loot, but still UF tickets.
2-card logic is default; 3-card is advanced.
Final-tile cycling only when a real recovery target exists.

Strategy Profiles