Card reward odds

How card rewards are rolled: rarity odds, the rare pity counter and the potion chance.

After a normal fight you get gold, a three-card pack rolled one card at a time with a base rare chance of 3% plus a pity offset that starts at minus 5% and climbs 1 point per non-rare card, and a potion roll that starts at 40%.

Elites raise the rare chance to 10% and add a relic; a boss pack is three rares.

Rare, after a fight

3%plus the pity offset

Rare, after an elite

10%and a relic

Boss pack

3 raresthe offset is ignored

Pity offset

From -5%+1 point per non-rare card

Potion roll

Starts at 40%down 10 on a drop, up 10 on a miss

What a fight drops

Normal fight

Gold10 to 20
Cards3, regular odds
PotionRoll at the current chance
RelicNone

Elite

Gold35 to 45
Cards3, elite odds
PotionRoll with +12.5 points
Relic1, rarity 50 / 33 / 17

Boss

Gold100
Cards3, all rare
PotionRoll at the current chance
RelicNone

Final boss

GoldNone
CardsNone
PotionNone
RelicNone

Gold. A whole number between the two ends, scaled by the encounter's gold proportion and multiplied by 0.75 under Poverty.
Skip. Skipping the pack is always allowed.

Relics bolt more onto this list

Prayer WheelAdds a second regular pack after normal fights.
White StarAdds an all-rare pack after elites.
Lasting CandyAdds a Power to every other combat's pack.
DriftwoodAdds one reroll per pack.
Pael's WingAdds a Sacrifice button.
OrreryHands you five packs on pickup.
Forbidden GrimoireThis power adds a card removal to the screen.

The drops as a table

Room	Gold	Cards	Potion	Relic
Normal fight	10 to 20	3, regular odds	Roll at the current chance	None
Elite	35 to 45	3, elite odds	Roll with +12.5 points	1, rarity 50 / 33 / 17
Boss	100	3, all rare	Roll at the current chance	None
Final boss	none	none	none	none

Rarity odds and the rare offset

Each of the three cards is rolled on its own. A card is rare if the roll lands under the base rare chance plus the current offset, uncommon if it lands under that plus the uncommon chance, and common otherwise.

After a boss

Common 0%Uncommon 0%Rare 100%

The offset is ignored.

The rare offset, your pity counter

Non-rare cards since the last rare

Rare, fight0%1%3%8%18%28%43%

Rare, elite5%8%10%15%25%35%50%

7Fight at Ascension 70%0%0%1.49%6.49%11.49%18.99%

7Elite at Ascension 70%1.5%2.5%5%10%15%22.5%

Offset -5 points: the start of a run, and right after a rare.Offset -2 points.Offset 0 points.Offset +5 points.Offset +15 points.Offset +25 points.Offset +40 points: the cap.

It starts below zero. The offset starts a run at -5%, so the first pack has no rare chance at all after a normal fight and a 5% chance after an elite.
It climbs. Every non-rare card adds 1 point, capped at +40, and the first rare card resets it to -5.
Three per pack. Because every card in a pack moves the counter, a fight with no rare advances it by three. The cap of +40 gives a ceiling of 43% after fights and 50% after elites.
Fights only. Only encounter packs move the offset. The shop reads it without changing it, and packs from other sources such as Orrery roll with a fixed 3% rare, 34% uncommon and 63% common.
Scarcity. Under Scarcity (Ascension 7) the base rates fall to 1.49%, 5% and 4.5% and the growth halves to half a point per card.
The base rates. Rare is 3% after a normal fight, 10% after an elite, 9% in the shop and 100% after a boss. Uncommon is 37% for fights and shops and 40% for elites.

The offset steps as a table

Non-rare cards since the last rare	Rare, fight	Rare, elite	Fight at A7	Elite at A7
0	0%	5%	0%	0%
3	1%	8%	0%	1.5%
5	3%	10%	0%	2.5%
10	8%	15%	1.49%	5%
20	18%	25%	6.49%	10%
30	28%	35%	11.49%	15%
45	43%	50%	18.99%	22.5%

Upgrades, potions and pity

Upgraded reward cards

Act 10%

70%

Act 225%

712.5%

Act 350%

725%

By act. A non-rare reward card is upgraded with a chance of 25% times the act index: never in Act 1, 25% in Act 2, 50% in Act 3.
Scarcity. It halves the step to 12.5%.
Not for rares. Rare cards skip this roll, and shop cards never take it.

The potion roll

Starts at40%

A drop: -10A miss: +10Elites: +12.5 to the roll

Rarity of the potion

Common 65%Uncommon 25%Rare 10%

From your character's pool plus the shared pool.

A drop lowers the stored chance by 10 points and a miss raises it by 10.
Elites add 12.5 points to the roll without touching the stored value (a 25% bonus, halved).

White Beast StatueForces a potion after every combat and still lowers the counter each time.
Molten Egg, Silver Crucible and Lava LampRelics such as these upgrade pack cards after the roll.

Colorless, event and quest cards

Packs draw from your character's pool only.

Dingy RugColorless cards enter packs.
Prismatic GemOther colours enter packs.

Or buy them. Otherwise you buy colorless cards: the shop keeps one uncommon and one rare colorless slot.
Filtered out. Basic cards and Ancient-rarity cards are filtered out of every roll.
Never in a pack. Event, Quest and Token cards never appear in a pack because they are granted directly by their source.
No repeats. A pack never repeats a card, since each draw rules out the cards already drawn. If the rolled rarity has no legal card the roll steps to the next rarity up.
See the Card Reward and Linked Rewards keywords for the on-screen rules.

Your first run is scripted

A brand-new save playing the Ironclad with no epochs revealed gets fixed packs: the first seven normal fights, the first two elites and the first boss.