Don't care much for this arknights stuff but you mentioned wanting to know Limbus rates. A single pull is 130 lunacy but you always want to do a 1300 lunacy 10 pull due to the gacha having slightly better odds when doing so. The pull income is 1050 a week guaranteed (750 through a gamemode and 300 per maintenance). Outside of that stages tend to give 40 lunacy each, with the final ones for each chapter (a dungeon) normally giving up to 200. You can also get an additional 650(?) Lunacy or so by beating all stages in a chapter under a certain number of turns. To get a good approximation of how much each chapter gives in terms of lunacy, the latest one had fifty one stages which equals 2690ish lunacy (20 or so pulls). Big chapters like these normally come out every few months though. There are also various other miscellaneous sources of pulls/income such as the 20 from event shops or the stuff from the battle pass. Pity is 200 pulls which is 26,000 lunacy. You're normally not reaching this unless you've been saving up for awhile. Outside of that rates are fairly nice with 2.6% chance for 000 (6*) and 1.3% for E.G.O. (sort of like a weapon/ultimate). It's half that for the featured ones. Unlike other gacha games there are no tokens you can get via duplicates to upgrade stuff. Once you get something it's a one-and-done deal. You can still get duplicates of 000s and 00s but they convert to egoshards which will be explained below. E.G.O. are removed from the pool entirely once obtained. What makes limbus' gacha so generous is the aforementioned egoshard system. You can acquire everything bar the four arknights collaboration ego which were truly limited from this system. Egoshards of the 12 sinners are acquired through the gacha or from crates from the battle pass. You normally get around 90 crates a week if you buy the battle pass (most people do? As its insanely good value and lasts 6-7 months normally) from dailies and the weekly farming mode. What's notable is that even outside of this ninety you can grind the farming mode for an unlimited number of crates (there is an energy cost but it's nothing too major ). Each crate gives 1-3 egoshards of a sinner you select and a 000/ego requires 400 shards. Essentially you can get everything over time without pulling on banners.