Luck

Luck
Stats
Type:	Stat
Ability:	Increases the odds for favorable events to occur.
Description:	"More Luck!"

The player's Luck increases the odds for rare events to occur during a run.

General Description

Luck improves the chances for the player to experience more lucky events. This is done by having every luck-based event in the game include a luck modifier attached to it. The prime examples of these are the drops of Fertilizer, Pickaxes, higher tier seeds, and rare seeds, including Heart Beet, Rose, Pumpkin, and Sunflower seeds. Dicey's Casino is also affected by this. In essence, the higher the player's Luck is the more likely they are to experience more of these positive events. For the majority of these examples, this simply means more drops of those pickups, with the rate of this varying between each given object. For Fertilizer specifically, one Luck equates to about +1% Fertilizer drop chance. For Dicey's Casino, this means increased chances to get the jackpot or otherwise better drops.

Probabilities

Luck affects specific probabilities of some aspects of the game. How Luck impacts an event is defined by the following equation:

$\color {white}{\text{New Probability}}={\text{Base Probability}}\times ({\text{Luck}}\times {\text{Scaling Factor}}{+}1)$

Where Luck is a percentage, New Probability is the probability of the event after Luck has been applied, Base Probability is the decimal or whole number corresponding to an event, and Scaling Factor is the coefficient controlling how much Luck affects the event. Some instances include, but are not limited to, what is detailed in the table below.

Image (If Applicable)	Name/Effect	Scaling Factor
	Alien Pet (when breaking an Alien Pod)	0.25
	Glass Bottles activating	0.5 (every 20 seconds)
	Sunflower seed drop	0.5
	Pumpkin seed drop	1
	Top tier seed drop (includes Aloe, Carrot, Coffee, Pineapple, and Tomato while in their respective Biomes or on the Farm)	1
	Golden Goose (up to one per each bridge-value Biome pair, ex: Desert II and Plains II)	1
	Fertilizer drop	1
	Any seed drop, such as from Enemies	1
	The chance for Soil pH Meter to replace a Weed with a Flower	0.5
	Dicey's Casino: winning a Rose seed, a Heart Beet seed, any kind of Hawk Scroll, Tier II Farm Animal, or Cornucopias	0.2
	Higher rarities of goods from the Flower Merchant	0.1
	Homing Pigeon	0.1
	Jump-Start	0.1
	Nasal Spray (chance for a Pig or a Hog to spawn a Truffle when digging)	0.5
	Borage, Pig, and Hog to decide to break open crust	0.1
	Sprinkler Tractor giving a Fruit Tree sapling when used on a Fruit Tree	0.1
	Seed drop from breaking unfarmable crust	0.5
	Tunneler Tractor chance to break extra crust (after the necessary Home Improvement has been unlocked)	1
	Chance for Soil to become Moist when tilled (after necessary Home Improvement has been unlocked)	1.5
	Quality of the Cat rewarded at the end of the run.	?
	Weapon rarities	?

Sources of Luck

There are several utilities both inside and outside the player's run that will increase Luck, including Cat Plushies, Cat Shrines, Home Improvements, Topiaries. Unless otherwise stated, all of the following increases are permanent and will affect all runs after being obtained. The specific sources can be seen below:

Image	Name	Increase	Amount	Source Name
	Alien Ant Luck Upgrade	+1% Luck	1	Alien Ant
	Chemist Ant Luck Upgrade	+0.5% Luck	1	Chemist Ant
	Historian Ant Luck Upgrade	+2% Luck	1	Historian Ant
	Historian Ant Luck Upgrade	+0.5% Luck	1	Historian Ant
	Sage Ant Luck Upgrade	+2% Luck	2	Sage Ant
	Banana Topiary	+0.5% Luck	1	Topiaries
	Bengal Cat Plushie	+0.01% Luck per Bengal Cat	0 to 200	Cat Plushies
	Shiny Black Cat Plushie	+0.015% Luck per Shiny Black Cat	0 to 200	Cat Plushies
	Cosmic Cat Plushie	+0.02% Luck per Cosmic Cat	0 to 200	Cat Plushies
	Void Cat Plushie	+0.03% Luck per Void Cat	0 to 200	Cat Plushies
	Bundit's Foot	+50% Luck (Only for that run)	1	Tree Guardians
	Big Cat Statue Upgrade	+2% Luck	1	Big Cat Statue
	Spring Cat Modifier	+20% Luck (Only when the given Shrine is enabled)	1	Spring Cat Shrine
	Fall Cat Modifier	+10% Luck (Only when the given Shrine is enabled)	1	Fall Cat Shrine
	Winter Cat Modifier	+10% Luck (Only when the given Shrine is enabled)	1	Winter Cat Shrine
	Nuclear Winter Cat Modifier	+10% Luck (Only when the given Shrine is enabled)	1	Nuclear Winter Cat Shrine

Note that all of the above sources are additive, not multiplicative. For example, if the player already has Luck at 4% and purchases the Alien Ant Luck Upgrade, they will have a new Luck value of 5%.