How Rare is the Pirate Shop Token in Fortnite?

The main focus of Fortnite Treasure Hunters (Chapter 7 Mini-Season) seems to be the elusive Pirate Shop Access Token, an extremely rare reward that will allow you to purchase anything and everything from the Item Shop for free within a 14-day period. With everyone scrambling for the Pirate Shop Token, you might be wondering what the drop rate chances are, as some players have obtained this rarity after a few hundred chests, whereas others await it even after a few thousand...