[User Collected] Recruit token probability

Have you ever wondered what the chances are of pulling a 3* from a recruit token?
Ever thought about spending all your hard-earned ISO on recruit tokens to try to get that elusive first red Ragnarok cover?
Considered whether it would be better to buy ISO for standard tokens or hero points for heroic tokens?
Pondered letting your limited-time heroic token expire on purpose in order to get a regular heroic token?

Me too! So I decided to track every recruit token I opened. Results are here.

Now, my dataset is reasonably large, but I'd love to get more data, especially on heroic tokens. Want to help? Here's what you can do:
- Add a column to each of the sheets with your username.
- Every time you open a token, add the result to the spreadsheet.
- When there's a new type of token, add a new worksheet (don't put The Hunt heroic token data into the normal Heroic sheet, for instance).

That's it! If you're not near a computer, you can do what I do -- open all your recruit tokens and then don't sell or train with them until you can write down the results. If you do decide to help out with data, though, please make sure you add ALL your token results, not just the ones you remember.

Some early tentative conclusions:
- Assuming each token is independent, you would expect to get a 2* roughly every 6 tokens or 3000 ISO.
- Similarly, you would expect a 3* roughly every 20 tokens, or 10k ISO.
- Assuming equal distribution across characters of the same rarity, you would expect to need 66 tokens to get a specific 2* or 160 tokens to get a specific 3* character.
- The same math for heroic tokens suggests it takes 32 tokens to get any specific 3* character.
- Even at the 300 HP cost, if you're looking to spend cash, heroic tokens are a way better deal than recruit tokens. 160 tokens = 80k ISO = $170, with 3k ISO left over. 32 tokens = 9600 HP = $55, with 100 HP left over.

If you've got other thoughts on the data, let's hear 'em!