Does Luck Matter in Sol's RNG? The Formula, Potions and Multipliers

The luck formula is Luck = (((1 + Basic Luck) x Bonus Roll Multiplier) + Special Luck) x VIP Multiplier.

VERIFIED Source: Sol's RNG Wiki (Fandom), checked 2026-10-16

Basic luck examples: Luck Glove +25%, Volcanic Device +290%, Exoflex Device +340%, Fortune Potion III +100%, and Ragnaroker +455% that rises to +500% in RAINY, WINDY or HELL biome.

VERIFIED Source: Sol's RNG Wiki (Fandom), checked 2026-10-16

One-roll special potions are added after bonus-roll multiplication, from Popping Potion at +10,000 to Pump King's Blood at +700,000, which also clears most other buffs.

VERIFIED Source: Sol's RNG Wiki (Fandom), checked 2026-10-16

VIP applies a final x1.2 multiplier to total luck, and VIP+ is x1.2 or x1.3 when normal VIP is also active.

VERIFIED Source: Sol's RNG Wiki (Fandom), checked 2026-10-16

How the luck formula is ordered

Luck is handled as a coefficient that modifies aura denominators, turning a base 1/1,000,000 into something closer to 1/35,000 on a strong roll setup.

The order matters: luck sources are mostly additive before multipliers, bonus-roll multipliers apply only to the basic-luck part, one-roll special potions are added after that multiplication, and VIP multiplies the final total.

That structure is why a huge one-roll potion can be diluted or amplified depending on what else you are running at the time.

The written form is Luck = (((1 + Basic Luck) x Bonus Roll Multiplier) + Special Luck) x VIP Multiplier.

Basic buffs and their real values

The rule of thumb is that +100% luck equals +1.0 in formula notation, so every figure below can be read directly as a term.

Luck Glove gives +25% (+0.25) and Fortune Potion III gives +100% (+1.0).

Volcanic Device gives +290% (+2.9) and Exoflex Device gives +340% (+3.4).

Frozen Gauntlet gives +150% (+1.5) but carries a roll-speed downside, while Galactic Device gives +250% (+2.5) plus roll speed.

Ragnaroker gives +455% (+4.55) with biome-conditional extra luck: in RAINY, WINDY or HELL it gains another +45%, reaching +500% (+5).

Bonus rolls multiply the basic portion

The standard bonus roll multiplies your current basic-luck portion, so it scales whatever gear you have rather than adding a flat amount.

The default bonus roll is x2.

Gravitational Device gives a x6 bonus roll and Flesh Device gives x1.3 on every roll.

Blessed Tide Gauntlet gives x3 every 6th roll, and The Thing gives x11 - the highest listed.

Darkshader reduces cooldown and adds periodic 2.5x roll-streak behaviour.

One-roll potions and why they are different

Special buffs are high-value, one-roll luck potions, and they are added after bonus-roll multiplication rather than multiplied by it.

Popping Potion and Potion of the Dune each give +10,000, Red Moon Potion I gives +11,000 and Potion of Bound gives +50,000.

Heavenly Potion gives +150,000, Red Moon Potion II gives +200,000 and Godlike Potion gives +400,000.

Oblivion Potion gives +600,000 and Pump King's Blood gives +700,000, but both also clear most other buffs before the final multiplier stage.

Because they are one-roll effects, timing is everything: popping one without a bonus roll and VIP active wastes most of its value.

Where VIP fits

VIP applies a final multiplier to total luck, currently x1.2.

VIP+ is x1.2 on its own, or x1.3 when normal VIP is also active.

Crucially, VIP is the multiplier that still affects one-roll special buffs after they have been added, which is why it has outsized value in high-end potion setups.

That also means VIP is the one upgrade whose value grows the more you spend on potions.

How a roll is actually decided

The game cycles through a list to determine which aura to select, and each aura's displayed chance is a base value used in the real calculation.

The true probability is produced by listing every base value in the current roll pool, sorting from highest visible rarity to lowest, then dividing each value by your total Luck.

The floor of that division is the list value, and any aura that lands on a list value of 1 is removed from the pool.

The system then starts at the highest-rarity aura whose requirements are satisfied - in CORRUPTION biome it starts at MONARCH, otherwise at EQUINOX when requirements are unmet - and rolls a random number within that aura's list value.

This is why luck-unaffected auras behave differently: no amount of luck changes their position in the pool.

Where luck stops helping

Luck-unaffected auras are rolled through true odds and ignore potions entirely, with illusionary (1 in 10,000,000) and meta as the standard examples.

Neferkhaf is another aura the wiki lists as not affected by luck.

Some auras require their biome regardless of luck, such as GLITCH and LEVIATHAN, and a few are locked to rare biomes like CYBERSPACE and SINGULARITY.

CHALLENGED and CHALLENGED+ auras have a condition to meet before they can be rolled at all, so no amount of luck bypasses the gate.

Auras exclusive to a biome and below 9,999,998 rarity receive the class two tiers above what they would otherwise have, which is why some modest-looking rolls are labelled UNIQUE.

The practical consequence is simple: spend potions on the auras that respond to luck, and treat the rest as patience targets.