# Bability

![When two avatars fall in love...](/files/3TkhrwQwLQGAhyMJkP3U)

Do you happen to have both male and female avatars? Fateful encounters between the chosen avatars are also one of JOY's grand plans.

**If you pay JOY tokens as a birth cost, after a while, new avatars that are influenced by their parents' parts and abilities will be created**. Of course, there will be mutations occasionally! The cost of giving birth to new avatars will increase as the parent avatars give more births to offspring.

## Supply

The supply of avatars is determined by the number of 1st generation avatars using the following equation.

![Four dimensional graphs according to the R value.](/files/dcR722bCl4zSl2p5Blkt)

$$
Q\_s = Total;Supply \quad\quad\quad\quad\quad;;,\cdots(a) \ N = Initial;Supply\quad\quad\quad\quad\quad;\cdots(b) \ F\_r = Expected;Female;Ratio\quad\cdots(c) \ \begin{array}{cc} \end{array} \newline R=\left { \begin{array} {cc} F\_r\quad\quad(F\_r\leq0.5) \ 1-F\_r\quad (Otherwise) \end{array} \right. \ \begin{array}{cc} \end{array} \newline Q\_s = N \* (1 + R)^k \ \begin{array}{cc} \end{array} \newline Q\_m = Male;Supply \ Q\_f = Female;Supply \ \begin{array}{cc} \end{array} \newline V = Weight \ S(x) = Additional;Weight \ P(V) = Female;Minting;Probability \ \begin{array}{cc} \end{array} \newline F\_r = \frac { RQ\_f }{ RQ\_m + RQ\_f } \* V\ \begin{array}{cc} \end{array} \newline P(V) = F\_r \* V \* S(x)
$$

* RQ = Current supply of avatars
* Fr = Ideal ratio of supplied female avatars **(currently 0.4)**
* V = Supply of avatars compared to the weighted variance in probability
* S(x) = Additional weighted variance included to elaborately control male to female avatar ratio
* P(V) = Variable probability that the next avatar is a female depending on the current gender ratio of the avatars
* k = The first generation avatars' maximum bability count

While new avatars are being created, you must leave them to JOY. Please keep in mind that these avatars will be **unavailable to roam around the World Land** (because they are locked up in a contract), and **will not be able to be transferred to another player**. Let's leave it up to JOY's wondrous powers and patiently wait for the outcome.


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