🎮 ZZZ Pity Calculator
Estimate Zenless Zone Zero Signal Search pulls, S-rank odds, soft pity, 50/50 or 75/25 risk, guarantee state, Encrypted Master Tapes, Master Tapes, Boopons, and Polychrome.
| Channel | Base S-rank | Target rule | Carry-over |
|---|---|---|---|
| Exclusive Agent | 0.6% | 50/50 then guarantee | Exclusive family |
| Exclusive Rescreening | 0.6% | Special first guarantee | Event rules |
| W-Engine | 1.0% | 75/25 then guarantee | W-Engine family |
| Stable | 0.6% | Any S-rank counted | Stable only |
| Bangboo | 1.0% | Selected S-rank | Bangboo only |
The calculator simulates per-pull S-rank odds, then applies the selected target rule when an S-rank appears.
| Channel | Soft zone | Hard pity | Counter reset |
|---|---|---|---|
| Exclusive Agent | Around 74+ | 90 signals | Any S-rank Agent |
| W-Engine | Around 64+ | 80 signals | Any S-rank W-Engine |
| Stable Channel | Around 74+ | 90 signals | Any S-rank result |
| Beginner Stable | Around 40+ | 50 signals | Any S-rank result |
| Bangboo | Around 64+ | 80 signals | Any S-rank Bangboo |
Soft pity is modeled as a rising probability before the hard pity guarantee.
| Resource | Pull value | Channel use | Calculator handling |
|---|---|---|---|
| Encrypted Master Tape | 1 signal | Limited Agent or W-Engine | Included on limited channels |
| Master Tape | 1 signal | Stable or Beginner | Included on Stable channels |
| Boopon | 1 signal | Bangboo Channel | Included on Bangboo |
| Polychrome | 160 = 1 signal | Tape conversion | Floored to whole pulls |
Auto conversion excludes Polychrome from Bangboo planning because Bangboo searches use Boopons in the calculator model.
| Scenario | Main risk | Useful input | Watch result |
|---|---|---|---|
| Fresh Agent | Lose 50/50 | No guarantee | Confidence pulls |
| Guaranteed Agent | Pity timing | Guarantee on | Resource gap |
| W-Engine chase | 25% off-rate | 75/25 channel | Expected pulls |
| Mindscape plan | Multiple cycles | 2+ copies | Chance within plan |
| Bangboo target | Boopon limit | Bangboo channel | Pull gap |
Use separate notes for pity, guarantee, and resources before comparing two banners.
Perhaps there’s a kind of anxiousness unique to gacha games. It’s the moment where you’re in front of the banner interface, checking your Polychrome balance. It’s always slightly less than you feel comfortabley with, and you find yourself asking whether you should spend now or wait until payday. There’s an S-rank Agent on display, though you know that the odds are never as straightforward as they seem and often becomes something that doesn’t make sense.
That’s part of what these apps do: to take that blind hope and translate it into some semblance of mathematics, so you can gameplan rather than gamble. However, the problem is the separateness of these channels. A lot of newbie lump all currencies into a single pot and believe that pity transfers across them. That doesn’t happen. Stable Channel pulls is distinct from your W-Engine tracks, and your limited Agent counter reset independently from both of them.
How to Save Money in Gacha Games
If you don’t recognize the distinction between these tracks, then you can’t decide where to allocate resources. Once you pick your type of channel, the calculator will do the rest of math for you. It protects you from mistakenly combining pity counts that live in different sections of the game’s code.
Another idea we should of discuss is soft pity. This isn’t something that flips on like a light switch randomly; rather, it’s more of a ramp. A point at which your chances of getting the agent dramatically increase but don’t quite reach 100%. In the case of Agents, this typically occur during pull #74. As you close in on that, the randomness drops away and the likelihood becomes mathematical certainty. You’re moving into statistical certainty rather than just blind luck.
The tool reflects the shape of the ramp for you, and allows you to determine how high your odds is of landing the featured agent during any given range. What most folks forget is that they focus on the base 0.6% possibility and then simply drop out before considering the increasingly steep odds after pull #74 or so.
The other factor is guarantees. That first fifty-fifty feel-bad will be lessened by the nearly certain second one. Enter that guarantee into the calculator and watch how much your expected number of pulls shifts! Because you’ve eliminated the worst case scenario, your risk profile has dropped. It’s not hopefulness; it’s an expense to be saved for.
That’s why many people make budgeting errors, they don’t distinguish between acquiring something with hope and acquiring something as a sure thing. The other layer is resource management. You are limited by items like Hard Limit Encrypted Master Tapes, but you get more Polychrome as time goes on. Fifteen hundred Polychrome converted into ten pulls seems like no big deal, but it could be the difference between hitting soft pity comfortable or falling short by two signal.
This is the sort of thing the tool lets you see: where the margins are, exactly how many additional resources you’ll require to get to, say, ninety percent confidence in reaching your goal. And it challenges you to ask yourself if you really have enough resource to pursue whatever character you want.
Seventy five percent rate for the featured item is a whole different ballgame for W-Engines, making the math a bit more complex. There is less chance to waste the first roll, but the base odds and the pity limit are not different than agent banners. The way it’s laid out in the reference tables, you can see at-a-glance how much you’d expect to pay for an upgrade vs getting another Agent, and know where you might want to hold back to get the big prize vs when the math suggests you should wait for a better opportunity.
Unlike tapes, Boopons don’t interact with Polychrome. They’re reserved only for Bangboo channel. That’s good news. It keeps our Agent pull savings from taking away from your compendium companions’ pulls without us even realizing it! It also helps preserve a nice pool of savings for when those big banner drops occur. To avoid confusion about which resources apply to what pulls, the calculator will change currencies according to your chosen channel automatically.
At their core, gacha games is built to surprise you, but within them exist strict rules. And those rules are meant to be exploited for your benefit. Learn about channel-specific limits, guarantee carries, and soft pity ramps. Then, turn chance into a budget line item. The tool above just automates the rote portions of that exercise so you can concentrate on what’s important: getting the characters who’ll make your team better. Saving up is still required, but you’ll now know precisely when it’s worthwhile to spend.
