Fortune

Fortune is an enchantment applied to mining and digging tools that increases the number and/or chances of specific item drops. It does not increase experience drops.
==Usage==
=== Ore ===
For coal ore, diamond ore, emerald ore, lapis lazuli ore, redstone ore, iron ore, copper ore, gold ore, nether gold ore, nether quartz ore, and amethyst clusters, Fortune I gives a 33% () chance to multiply drops by 2 (averaging 33% () increase), Fortune II gives a chance to multiply drops by 2 or 3 (25% () chance each, averaging 75% () increase), and Fortune III gives a chance to multiply drops by 2, 3, or 4 (20% () chance each, averaging 120% (1) increase). 
Generally speaking, Fortune gives a weight of 2 to a normal drop chance and adds a weight of 1 for each extra drop multiplier. In short, when an ore is mined, the chance for no bonus drops is \frac{2}{level+2} and if a bonus is applied, there is an equal chance for any number of drops between 2 and level+1
The formula to calculate the average drops multiplier is \frac{1}{level+2}+\frac{level+1}{2}, which means Fortune II gives 1.75x (1) drops on average, Fortune III gives 2.2x (2) drops on average, etc.
Mineral Drops
Ore 	Drop 	No Fortune	No Fortune	Fortune I	Fortune I	Fortune II	Fortune II	Fortune III	Fortune III
Ore 	Drop 	Avg 	Max 	Avg 	Max 	Avg 	Max 	Avg 	Max
 	Coal 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	Diamond 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	Emerald 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	Raw Iron 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	2-5 Raw Copper 	3.5 	5 	4.67 	10 	6.125 	15 	7.7 	20
 	Raw Gold 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	2-6 Gold Nuggets 	4 	6 	5.33 	12 	7 	18 	8.8 	24
 	Nether Quartz 	1 	1 	1.33 	2 	1.75 	3 	2.2 	4
 	4-9 Lapis Lazuli 	6.5 	9 	8.67 	18 	11.375 	27 	14.3 	36
 	4-5 Redstone Dust	4.5 	5 	5 	6 	5.5 	7 	6 	8
 	4 Amethyst Shards	4 	4 	5.33 	8 	7 	12 	8.8 	16
Drop calculations	Drop calculations	1× 	1× 	
* 66% 1×
*33% 2×
(avg. 1.33× - +33%)	
* 66% 1×
*33% 2×
(avg. 1.33× - +33%)	
* 50% 1×
*25% 2×
*25% 3×
(avg. 1.75× - +75%)	
* 50% 1×
*25% 2×
*25% 3×
(avg. 1.75× - +75%)	
*40% 1×
*20% 2×
*20% 3×
*20% 4×
(avg. 2.2× - +120%)	
*40% 1×
*20% 2×
*20% 3×
*20% 4×
(avg. 2.2× - +120%)
With admin commands it is possible to get higher fortune levels. E.g. Fortune IV averages 2.65 drops, while Fortune V averages 3.14.
=== Discrete random ===
Glowstone, melons, nether wart, redstone ore, sea lanterns, and sweet berries use a , meaning each possible drop amount is equally likely to be dropped. Fortune increases the maximum number of drops by 1 per level. However, maximum drop limitations may apply: glowstone has a capacity of 4 glowstone dust, sea lanterns have a capacity of 5 prismarine crystals, and melons have a capacity of 9 melon slices. If a drop higher than these maximums is rolled, it is rounded down to the capacity.
Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Drops 	33% chance with...	25% chance with...	20% chance with...	16.7% chance with...
Drops 	33% chance with...	25% chance with...	20% chance with...	2 drops
Drops 	33% chance with...	25% chance with...	2 drops 	3 drops
Drops 	33% chance with...	2 drops 	3 drops 	4 drops
Drops 	2 drops 	3 drops 	4 drops 	4 drops
Drops 	3 drops 	4 drops 	4 drops 	4 drops
Drops 	4 drops 	4 drops 	4 drops 	4 drops
Average	3 drops 	3.25 drops 	3.4 drops 	3.5 drops
Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Drops 	20% chance with...	16.7% chance with...	14.3% chance with...	12.5% chance with...
Drops 	20% chance with...	16.7% chance with...	14.3% chance with...	3 drops
Drops 	20% chance with...	16.7% chance with...	3 drops 	4 drops
Drops 	20% chance with...	3 drops 	4 drops 	5 drops
Drops 	3 drops 	4 drops 	5 drops 	6 drops
Drops 	4 drops 	5 drops 	6 drops 	7 drops
Drops 	5 drops 	6 drops 	7 drops 	8 drops
Drops 	6 drops 	7 drops 	8 drops 	9 drops
Drops 	7 drops 	8 drops 	9 drops 	9 drops
Average	5 drops 	5.5 drops 	6 drops 	6.375 drops
Maturity	Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Immature	Drops 	100% chance with...	100% chance with...	100% chance with...	100% chance with...
Immature	Drops 	1 drop 	1 drop 	1 drop 	1 drop
Immature	Average	1 drop 	1 drop 	1 drop 	1 drop
Mature 	Drops 	33% chance with... 	25% chance with... 	20% chance with... 	16.7% chance with...
Mature 	Drops 	33% chance with... 	25% chance with... 	20% chance with... 	2 drops
Mature 	Drops 	33% chance with... 	25% chance with... 	2 drops 	3 drops
Mature 	Drops 	33% chance with... 	2 drops 	3 drops 	4 drops
Mature 	Drops 	2 drops 	3 drops 	4 drops 	5 drops
Mature 	Drops 	3 drops 	4 drops 	5 drops 	6 drops
Mature 	Drops 	4 drops 	5 drops 	6 drops 	7 drops
Mature 	Average	3 drops 	3.5 drops 	4 drops 	4.5 drops
Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Drops 	50% chance with...	33% chance with...	25% chance with...	20% chance with...
Drops 	50% chance with...	33% chance with...	25% chance with...	4 drops
Drops 	50% chance with...	33% chance with...	4 drops 	5 drops
Drops 	50% chance with...	4 drops 	5 drops 	6 drops
Drops 	4 drops 	5 drops 	6 drops 	7 drops
Drops 	5 drops 	6 drops 	7 drops 	8 drops
Average	4.5 drops 	5 drops 	5.5 drops 	6 drops
Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Drops 	50% chance with...	33% chance with...	25% chance with...	20% chance with...
Drops 	50% chance with...	33% chance with...	25% chance with...	2 drops
Drops 	50% chance with...	33% chance with...	2 drops 	3 drops
Drops 	50% chance with...	2 drops 	3 drops 	4 drops
Drops 	2 drops 	3 drops 	4 drops 	5 drops
Drops 	3 drops 	4 drops 	5 drops 	5 drops
Average	2.5 drops 	3 drops 	3.5 drops 	3.8 drops
Maturity 	Level 	No Fortune 	Fortune I 	Fortune II 	Fortune III
Third stage	Drops 	50% chance with...	33% chance with...	25% chance with...	20% chance with...
Third stage	Drops 	50% chance with...	33% chance with...	25% chance with...	1 drop
Third stage	Drops 	50% chance with...	33% chance with...	1 drop 	2 drops
Third stage	Drops 	50% chance with...	1 drop 	2 drops 	3 drops
Third stage	Drops 	1 drop 	2 drops 	3 drops 	4 drops
Third stage	Drops 	2 drops 	3 drops 	4 drops 	5 drops
Third stage	Average	1.5 drops 	2 drops 	2.5 drops 	3 drops
Mature 	Drops 	50% chance with...	33% chance with...	25% chance with...	20% chance with...
Mature 	Drops 	50% chance with...	33% chance with...	25% chance with...	2 drops
Mature 	Drops 	50% chance with...	33% chance with...	2 drops 	3 drops
Mature 	Drops 	50% chance with...	2 drops 	3 drops 	4 drops
Mature 	Drops 	2 drops 	3 drops 	4 drops 	5 drops
Mature 	Drops 	3 drops 	4 drops 	5 drops 	6 drops
Mature 	Average	2.5 drops 	3 drops 	3.5 drops 	4 drops
==== Grass, ferns and large flowers====
Grass and ferns have a fixed chance, unaffected by Fortune, to drop wheat seeds. If the drop occurs, Fortune increases the maximum number of seeds that can be dropped by 2, by affecting a discrete uniform distribution. , large flowers (except torchflowers) are also affected by Fortune when breaking the bottom.
Drop	Drop Amount 	Drop Chance	Drop Chance	Drop Chance	Drop Chance
Drop	Drop Amount 	No Fortune 	Fortune I 	Fortune II 	Fortune III
 	0 	87.5% () 	87.5% () 	87.5% () 	87.5% ()
 	1 	12.5% () 	4.17% () 	2.5% () 	1.79% ()
 	2 	0% 	4.17% () 	2.5% () 	1.79% ()
 	3 	0% 	4.17% () 	2.5% () 	1.79% ()
 	4 	0% 	0% 	2.5% () 	1.79% ()
 	5 	0% 	0% 	2.5% () 	1.79% ()
 	6 	0% 	0% 	0% 	1.79% ()
 	7 	0% 	0% 	0% 	1.79% ()
 	Average drops	0.125 	0.25 	0.375 	0.5
=== Seeds ===
Beetroots (seeds only), carrots, potatoes, and wheat (seeds only) use a . Fortune increases the number of tests for the distribution, and thus the maximum number of drops, by 1 per level.
The binomial distribution in the default case is created by rolling three times (n=3) with a drop probability of 57% (p=.57), creating the typical drop of 1-4 seeds. Carrots and potatoes include one more fixed drop, as their seed and item are the same.
Drop	Drop Amount 	Drop Chance	Drop Chance	Drop Chance	Drop Chance
Drop	Drop Amount 	No Fortune 	Fortune I 	Fortune II 	Fortune III
 	1 	7.87% 	3.37% 	1.45% 	0.62%
 	2 	31.49% 	17.99% 	9.64% 	4.96%
 	3 	41.98% 	35.99% 	25.70% 	16.52%
 	4 	18.66% 	31.99% 	34.27% 	29.38%
 	5 	0% 	10.66% 	22.85% 	29.38%
 	6 	0% 	0% 	6.09% 	15.67%
 	7 	0% 	0% 	0% 	3.48%
 	Average drops	 	 	 	
=== Tabulated probabilities ===
Fortune increases the probability of flint dropping from gravel; saplings and sticks dropping from leaves; apples dropping from oak and dark oak leaves and gold nuggets dropping from gilded blackstone, and twisting vines and weeping vines dropping from themselves.
Drop 	Source	No Fortune	Fortune I	Fortune II	Fortune III	Fortune IV+Levels of Fortune higher than III are unobtainable except by using commands.
 	 	10% () 	14.29% ()	25% () 	100% 	100%
2-5 s	 	10% () 	14.29% ()	25% () 	100% 	100%
s 	 	2.5% () 	2.78% () 	3.125% () 	4.17% () 	10% ()
Other	 	5% () 	6.25% () 	8.33% ( 	10% () 	10% ()
1-2 s	 	2% () 	2.22% () 	2.5% () 	3.33% () 	10% ()
s 	 	0.5% () 	0.556% ()	0.625% () 	0.833% () 	2.5% ()
 	 	33% () 	55% () 	77% () 	100% 	100%
== Incompatibilities ==
Silk Touch and Fortune are mutually exclusive. If commands are used to apply both Silk Touch and Fortune to an item, the Silk Touch enchantment takes precedence over the Fortune enchantment for blocks affected by both enchantments.
== Data values ==
=== ID ===
:
:
== History ==
== Issues ==
de:Glück
es:Fortuna
fr:Enchantement/Fortune
ja:幸運 (エンチャント)
pt:Fortuna
zh:时运