Tame Animal Chance

== Factors ==
* Animals : 4% plus 3% per skill level.
* Manipulation: 50% importance, 20% allowed defect. 100% limit
* Talking: 90% importance, 20% allowed defect. 100% limit
* Hearing: 30% importance, 5% allowed defect. 100% limit
* Precepts multipliers:
** Animal Connection duplicates the chance.
** Ranching multiplies the chance by 1.2.
* Animal's Wildness: A value between 0% to 100%. At 0%, taming chance get doubled, while at 100% it becomes impossible. It has no effect at 50%.The effects of wildness are obtained from a post-processing curve (also called simple curve) on the function TameChanceFactorCurve_Wildness with the points (1,0);(0.5,1);(0,2). While the formula 2 * (1 - wildness) replicates the effects, the difference is that this factor can't go above 2 nor below 0.
** Despite being human, wildman have 75% Wildness.
** Do note that this factor is applied after all others excluding the 3 below.
While not directly related to this stat, some other relevant factors for the actual tame chance are:
* If the animal is venerated by the tamer's ideoligion, the chance is doubled.
* If the tamer is bonded with the animal to be tamed, the chance is multiplied by 4.
* If the pawn to be tamed is imprisoned, the chance is multiplied by 0.6.
Do note that a pawn with Inspired taming will always be successful as long as it meets the Minimum Handling requirement.
== Formula ==
The formula proper is:
Tame chance = Animals * 2 * (1 - wildness) * Manipulation Offset * Talking Offset * Hearing Offset
"X" Offset = Min( 1; ( ( 1 - X importance ) + X importance * X efficiency / (1 - X Allowed Defect) ) )
Replacing values for Manipulation, Talking, and Hearing results on the following expressions: 
:Manipulation Offset = Min( 1; ( 0.5 + 5/8 * Manipulation ) )
:Talking Offset = Min( 1; ( 0.1 + 9/8 * Talking ) )
:Hearing Offset = Min( 1; ( 0.7 + 6/19 * Hearing ) )
With all of the above, the final formula is:
Tame chance = ( 0.04 + 0.03 * Animals skill ) * 2 * (1 - wildness) * Min( 1; ( 0.5 + 5/8 * Manipulation ) ) * Min( 1; ( 0.1 + 9/8 * Talking ) ) * Min( 1; ( 0.7 + 6/19 * Hearing ) )
For the case that Manipulation is above 80%, Hearing above 80%, and Talking above 95%, the formula can be reduced to:
:Tame chance = Animals * 2 * (1 - wildness)
Do note that additional factors mentioned above (venerated status, bond, imprisoned status) would apply over this calculated value to obtain the final tame chance. Precepts bonuses are technically evaluated before factoring wildness, but can be applied at this stage with no issue.
Example:
:A tamer with 13 handling skill has a [4% base] + [3% * 13] = 42% base taming chance. If said pawn attempts to tame a Timber wolf, Minimum Handling of 8, the taming chance would be reduced by its 85% wildness, resulting in a 42% * 2 * ( 1 - 85% wildness ) = 12.90% taming chance.
:If additionally, this pawn suffers from Hearing loss on either ear, the taming chance would be 42% * 2 * ( 1 - 85%) * (70% + 6/19 * 87.5%) = 12.30% .
The table below shows the base taming chanceThe precepts Animal Connection and Ranching multiply this change by 2/1.2, respectively. for all vanilla combinations of wildness and Animals skill. All values assume Manipulation, Hearing, and Talking values high enough to not alter Tame chance. Do note that not all results are possible in normal gameplay; Minimum Handling is decided by the wildness of the animal in question, removing some combinations. As such, the first Animals skill level that allows interaction with an animal of a given wildness is colored dark green.
 Tame chance table
Animalsskill	Base chance	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Wildness	Animalsskill
Animalsskill	Base chance	0% 	20% 	25% 	30% 	35% 	40% 	45% 	50% 	55% 	60% 	75% 	80% 	85% 	90% 	95% 	97% 	98.5% 	Animalsskill
0 	4.00% 	8.00% 	6.40% 	6.00% 	5.60% 	5.20% 	4.80% 	4.40% 	4.00% 	3.60% 	3.20% 	2.00% 	1.60% 	1.20% 	0.80% 	0.40% 	0.24% 	0.12% 	0
1 	7.00% 	14.00% 	11.20% 	10.50% 	9.80% 	9.10% 	8.40% 	7.70% 	7.00% 	6.30% 	5.60% 	3.50% 	2.80% 	2.10% 	1.40% 	0.70% 	0.42% 	0.21% 	1
2 	10.00% 	20.00% 	16.00% 	15.00% 	14.00% 	13.00% 	12.00% 	11.00% 	10.00% 	9.00% 	8.00% 	5.00% 	4.00% 	3.00% 	2.00% 	1.00% 	0.60% 	0.30% 	2
3 	13.00% 	26.00% 	20.80% 	19.50% 	18.20% 	16.90% 	15.60% 	14.30% 	13.00% 	11.70% 	10.40% 	6.50% 	5.20% 	3.90% 	2.60% 	1.30% 	0.78% 	0.39% 	3
4 	16.00% 	32.00% 	25.60% 	24.00% 	22.40% 	20.80% 	19.20% 	17.60% 	16.00% 	14.40% 	12.80% 	8.00% 	6.40% 	4.80% 	3.20% 	1.60% 	0.96% 	0.48% 	4
5 	19.00% 	38.00% 	30.40% 	28.50% 	26.60% 	24.70% 	22.80% 	20.90% 	19.00% 	17.10% 	15.20% 	9.50% 	7.60% 	5.70% 	3.80% 	1.90% 	1.14% 	0.57% 	5
6 	22.00% 	44.00% 	35.20% 	33.00% 	30.80% 	28.60% 	26.40% 	24.20% 	22.00% 	19.80% 	17.60% 	11.00% 	8.80% 	6.60% 	4.40% 	2.20% 	1.32% 	0.66% 	6
7 	25.00% 	50.00% 	40.00% 	37.50% 	35.00% 	32.50% 	30.00% 	27.50% 	25.00% 	22.50% 	20.00% 	12.50% 	10.00% 	7.50% 	5.00% 	2.50% 	1.50% 	0.75% 	7
8 	28.00% 	56.00% 	44.80% 	42.00% 	39.20% 	36.40% 	33.60% 	30.80% 	28.00% 	25.20% 	22.40% 	14.00% 	11.20% 	8.40% 	5.60% 	2.80% 	1.68% 	0.84% 	8
9 	31.00% 	62.00% 	49.60% 	46.50% 	43.40% 	40.30% 	37.20% 	34.10% 	31.00% 	27.90% 	24.80% 	15.50% 	12.40% 	9.30% 	6.20% 	3.10% 	1.86% 	0.93% 	9
10 	34.00% 	68.00% 	54.40% 	51.00% 	47.60% 	44.20% 	40.80% 	37.40% 	34.00% 	30.60% 	27.20% 	17.00% 	13.60% 	10.20% 	6.80% 	3.40% 	2.04% 	1.02% 	10
11 	37.00% 	74.00% 	59.20% 	55.50% 	51.80% 	48.10% 	44.40% 	40.70% 	37.00% 	33.30% 	29.60% 	18.50% 	14.80% 	11.10% 	7.40% 	3.70% 	2.22% 	1.11% 	11
12 	40.00% 	80.00% 	64.00% 	60.00% 	56.00% 	52.00% 	48.00% 	44.00% 	40.00% 	36.00% 	32.00% 	20.00% 	16.00% 	12.00% 	8.00% 	4.00% 	2.40% 	1.20% 	12
13 	43.00% 	86.00% 	68.80% 	64.50% 	60.20% 	55.90% 	51.60% 	47.30% 	43.00% 	38.70% 	34.40% 	21.50% 	17.20% 	12.90% 	8.60% 	4.30% 	2.58% 	1.29% 	13
14 	46.00% 	92.00% 	73.60% 	69.00% 	64.40% 	59.80% 	55.20% 	50.60% 	46.00% 	41.40% 	36.80% 	23.00% 	18.40% 	13.80% 	9.20% 	4.60% 	2.76% 	1.38% 	14
15 	49.00% 	98.00% 	78.40% 	73.50% 	68.60% 	63.70% 	58.80% 	53.90% 	49.00% 	44.10% 	39.20% 	24.50% 	19.60% 	14.70% 	9.80% 	4.90% 	2.94% 	1.47% 	15
16 	52.00% 	104.00% 	83.20% 	78.00% 	72.80% 	67.60% 	62.40% 	57.20% 	52.00% 	46.80% 	41.60% 	26.00% 	20.80% 	15.60% 	10.40% 	5.20% 	3.12% 	1.56% 	16
17 	55.00% 	110.00% 	88.00% 	82.50% 	77.00% 	71.50% 	66.00% 	60.50% 	55.00% 	49.50% 	44.00% 	27.50% 	22.00% 	16.50% 	11.00% 	5.50% 	3.30% 	1.65% 	17
18 	58.00% 	116.00% 	92.80% 	87.00% 	81.20% 	75.40% 	69.60% 	63.80% 	58.00% 	52.20% 	46.40% 	29.00% 	23.20% 	17.40% 	11.60% 	5.80% 	3.48% 	1.74% 	18
19 	61.00% 	122.00% 	97.60% 	91.50% 	85.40% 	79.30% 	73.20% 	67.10% 	61.00% 	54.90% 	48.80% 	30.50% 	24.40% 	18.30% 	12.20% 	6.10% 	3.66% 	1.83% 	19
20 	64.00% 	128.00% 	102.40% 	96.00% 	89.60% 	83.20% 	76.80% 	70.40% 	64.00% 	57.60% 	51.20% 	32.00% 	25.60% 	19.20% 	12.80% 	6.40% 	3.84% 	1.92% 	20
== Notes ==