# The Collection

The art style is meant to be cartoonesque. Our sole artist quit his job and spent the last four months creating this collection. Working on roofs sucks :face\_vomiting: autism drawings on the iPad though... :fire:

Each NFT has a rarity tier which determines which traits it is eligible to be assigned and what rarity of traits will be assigned.

Mathematically:

$$
P(T\_1,T\_2,...,T\_n|R\_k) = \prod\_{j=1}^n p\_{j \mid k}^{T\_j}\ \text{where}:\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\~\ \text{each NFT i belongs to a rarity tier k from K={Common, Uncommon, Rare, Epic, Legendary}}\ R\_k\~\text{is the event that an NFT} ~~i ~~\text{belongs to rarity tier}~~ k \ T\_j~~\text{is the event that an NFT} ~~i~~ \text{receives trait}\~ j
$$


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