You can learn more about the Stargazing Room (i.e., probabilities) here.
I've grouped some pulls together (gear, fragments, elite cards, and rare cards). For example, if you pull gear here, it will always be a staff (but in the actual game you'd pull any of the mythic gear...).
The probabilities here are exactly the same as in the game.
I'm not entirely sure why I built this. I suppose I just wanted to :P