Luck

Luck dictates the frequency that a character can avoid debuffs and status ailments cast by monsters. Any character can consume a seed of luck to increase this attribute.

Dragon Quest III: The Seeds of Salvation

In all versions of III, Luck affects your character's chances of being affected by status ailments such as Snooze, Fizzle, and Dazzle. Each enemy spell has a different base accuracy that is lowered as the stat rises, being calculated as Probability(P) = (384 - LUCK) * MOD / 65536.

MOD	Staus ailments
160	Dazzle, Deceleratle
128	Sap, Kasap, Kamikazee (locked)
96	Snooze, Fizzle
64	Fuddle
32	Whack, Thwack

Dragon Quest III HD-2D Remake

The Luck stat's calculation for evading status ailments has been changed to ( ( 1 + ( Luck stat - hidden benchmark ) / hidden benchmark ) X 100 ) / 100. Once the adjusted Luck stat value is determined it is measured against the hidden benchmark. If it is 80% or less of the hidden benchmark then the adjusted value is multiplied by 0.8, and if it is 120% or higher then the adjusted value is multiplied by 1.2.

For example, if a Hero at level 90 has 800 Luck then the calculation is ( ( 1+ ( 800 - 310) / 310 ) X 100 ) / 100, resulting in 2.58. Because the Luck stat was greater than 120% of the hidden benchmark for level 90, the 2.58 is multiplied by 1.2 for 3.096 which is then multiplied by 10 for the percentage value to be multiplied against the enemy's spell. Using Snooze as an example, the natural accuracy of 60% becomes 18.576%.

Luck also penetrates a monster's resistance to status ailments, calculated as base resistance - (0.25 X Luck / 1,000) = new resistance. For example, the Snooze spell has an accuracy of 60% and the target monster has a 25% resistance to being knocked out, lowering the accuracy to 45%. If the person casting the spell has max Luck then the calculation becomes 0.25 - (0.25 X 999 / 1,000) = 0.00025%, resulting in Snooze now having a success chance of 59.975%.

Luck also determines a character's chance to land a critical hit, with luck being measured against a level's hidden benchmark and then multiplied by the vocation's innate crit rate. For example, a Gadabout with 999 Luck at level 90 is calculated as 6 X (999-310) , resulting in a critical hit chance of 19.33%.

Finally, Luck also influences the physical damage dealt by the attack command. Physical damage is lowered to 90% if the attacker's Luck stat is lower than 10% of the hidden benchmark, and is raised to 110% if the Luck stat is 10% or greater than the hidden benchmark.

Hidden benchmark per level, universal

Lv	*0	*1	*2	*3	*4	*5	*6	*7	*8	*9
0	-	9	10	11	12	13	14	15	17	19
1	22	25	29	32	35	39	43	46	50	54
2	57	61	65	70	74	79	83	88	94	99
3	105	110	116	121	127	132	138	144	150	155
4	160	164	169	174	178	182	187	191	195	200
5	204	208	211	215	219	222	225	229	232	235
6	238	240	243	246	249	251	254	257	260	262
7	265	268	271	273	275	278	280	282	285	287
8	289	292	294	296	298	300	302	304	306	308
9	310	312	314	316	318	320	322	324	326	328

Vocation	Crit Value	Level Range
Gadabout	3	1–9
	4	10–20
	5	21–30
	6	31–99
Hero	2	1–5
	2.5	6–10
	3	11–15
	3.5	16–20
	4	21–25
	4.5	26–30
	5	31–35
	5.5	36–40
	6	41–45
	6.5	46–50
	7	51–55
	7.5	56–60
	8	61–65
	8.5	66–70
	9	71–75
	9.5	76–90
	10	81–99
Mage	3	1–99
Martial Artist	4	1–4
	5	5–9
	6	10–14
	7	15–20
	8	21–25
	9	26–30
	10	31–35
	11	36–40
	12	41–45
	13	46–50
	14	51–55
	15	56–60
	16	61–65
	17	66–70
	18	71–75
	19	76–80
	20	81-99
Merchant	2	1–99
Monster Wrangler	3	1–99
Priest	2	1–99
Sage	2	1–99
Thief	2	1–99
Warrior	2	1–99

Dragon Quest IV: Chapters of the Chosen

Luck functions as it had in III.

Dragon Quest V: Hand of the Heavenly Bride

In V, Luck determines the accuracy of an enemy curse rather than status ailment spells, with fixed accuracy rates assigned to enemy spells.