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Also cultural tradition affects a chance to get specific traits (example Monastic communities get you higher chance of getting Temperate trait when mentoring your own children).
If you have more than two children that needs education then assign mentor with highest same skill as your child has (example child with martial education pick knight with highest martial skill).
Mentor traits do not matter what your children gets is random only thing affected is what the martial level is when turning 16. (level 1-4 end result can be better when using dynasty trait that affects children education).
Very important is an University, the second Kin Legacy and a very good Court Tutor.
The last Legitimacy Legacy Perk, gives all Children of your Dynasty an 50% chance to get the choosed Education Tier 5 Trait.
For good Base Stats.
A Guardian with very high Base Stats, only the Base Stats are important, not the total Stat of an Character, because the Ward will get nearly the same Value for the Base Stats of any Skill.
Excellent Mentor - That was good of you to abstain from drink, 5 year old.
Good Mentor - I liked how you remained calm when playing chess.
Average Mentor - So the trees talk to you now?
Below Average Mentor - You liked killing squirls eh?
Poor Mentor - OH?? You slapped her back, because she wouldn't give you the ball?
employ a good tutor
go for the legacy perk that causes landed children to get better education traits . . .
you essentially never have to worry about anyone getting below a level-3 education in your dynasty again. It will basically break the game for your dynasty (and anyone else who pursues that legacy path)
(unless your tutor becomes infirm and aptitude drops to terrible which the game still won't warn you about, or when it happens to your court physician, but I digress)
1. 15+ in Stewardship
2. 15+ in Learning
3. Highest Stewardship education they have
4. Genius or intelligent
I always marry in a few people into my court just to act as trainers.
I don't have access to a university yet but I always get +6's and +8's. I don't usually mentor them myself unless I fit the above requirements, the reason being is even when I get to pick which trait they get most times they don't get one I like anyway.
But ever ones got there own system.
There are 3 parts to education not 1 this is where a lot of people get confused.
Base stats: This one is simple every year of education the child flips a coin for each of the 6 stats to see if they increase their base stats by 1. The outcome is ether yes, or no for each stat. The odds are based on the same stat the guardian has. There isn't a 100% yes, but it can get very close with stacked stats.
Traits: During education a child will get 3 trait events each will include 3 traits. The events they get are based on their parent's traits, their guardian's traits, their childhood trait, and a splash of randomness. Unless you are playing as the child the child will pick a trait then the guardian can veto the child's decision at the cost of stress. Depending on the guardian's personality they will use this veto power so their ward's traits match their own when possible, or to make a more compliant future noble. The best results for good traits is to always educate your children yourself.
Education: buckle up this one is the dozy. There are multiple factors that go into the level of education trait a child will have when turning into an adult. Like with base stats every year of education there is a "coin flip" this time it is a 0 or +2 to a hidden score. 0 - 7 = *, 8 - 12 = **, 13 - 17 = ***, 18+ = ****. For those bad at math that means without anything to modify a child can only miss 1 flip to still get a 4 star education, and can only miss 3 to still get a 3 star with there being a total of 10 "coin flips". Odds for a successful flip are bases on the child's intellectual congenital trait (imbecile, stupid, slow, quick, intelligent, genius), the guardian's intellectual congenital trait, the guardian's relevant stat, the guardian's learning (at half value of relevant stat), and if the Child's childhood trait matches the education you are going for.
Education part 2: On top of increasing the success chance there are ways to get free point to this hidden score. If you have a court tutor present when the child comes of age they add 2-3 to the child's education score based on their aptitude. A child belonging to a dynasty with the 2nd kin dynastic legacy will also get 2-3 to their final education score. Spouses at the court of an educated child can trigger events resulting in a single, or a group of children getting +1 to education if the spouse is set to patronage, has a high learning education, has high learning, or has the scholar trait this event repeat, and stack. Finally a child sent to educate at a university get bored out of their mind an instant +12, they can even be removed from the university guardian to be given another right after while retaining this score boost.
1. Genius
2. High stat they are training in
3. High learning
4. Traits you might want to see in a pupil
Note: if the pupil is your heir, #4 might be ranked way higher if you dont like to play with certain traits (i am looking at you, Shy).
For 4: The Personality Traits of Guardians does not really matter, because it is mostly RNG, unlike CK2, where an Guardian can always influence the Ward to take their own Traits.
The Guardian's Base Skills has an much higher impact, then the Parent's Base Skill.
And no, the Total Skill Value never matters for Education, only the Base Skill.
ADOLESCENCE_SKILL_BASE_CHANCE = 15
CHILDHOOD_SKILL_BASE_CHANCE = 3
UNKNOWN_PARENT_SKILL = 5
BASE_MAX_SKILL = 10
INHERITED_SKILL_CHANCE = 1.3
LOWER_THAN_PARENT_BONUS = 20
MIN_SKILL_CHANCE = 10
plus 20% of increasing skill level if it is lower than the parents, plus 3% ages 6-12, plus 15% ages 12-15, plus 1.3*parent skill level %. Minimum of 10% chance, unknown parents are assumed to have skill 5, and characters cannot get more than 10 skill.
Good luck and hope that helps