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ZZZ Signal Calculator

Calculate your odds on Zenless Zone Zero's Exclusive (Agent), W-Engine, and Stable channels. Target M0–M6 and read the result in plain words.

◆Zenless Zone Zero

ZZZ Signal Calculator

Signal-pull probability · pity, 50/50 and W-Engine.

Banner type

Your state

Current pity

pulls

Pity: 0 / 90Soft pity at: 75
Your next 5★ is a 50/50 for the featured unit.

What's your budget?

pulls

Enter your current pity and how many pulls you have to calculate your odds.

Expected pulls

~ 94

Any 5★ chance

0.0%

Worst case

180

Next pull rate

0.6%

045901351800%25%50%75%100%PullsChance of featured 5★

Your state

If the 50/50 flips

Target copies

CopiesChance at budgetExpectedWorst caseCurrency
M00.0%9418015,040
M10.0%18936030,240
M20.0%28354045,280
M30.0%37872060,480
M40.0%47290075,520
M50.0%5661,08090,560
M60.0%6611,260105,760

Also available for:

Genshin Pity Calculator·
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ZZZ signal calculator. Pity odds for the Exclusive Agent and W-Engine channels.

A ZZZ signal calculator estimates your probability of pulling the featured S-rank Agent or W-Engine given your current pity and remaining Polychrome budget. It handles the 50/50 on the Exclusive Channel and the 75/25-with-failsafe on the W-Engine Channel, using the same piecewise-pity model as every other HoYoverse title.

What is the Zenless Zone Zero signal system?

The Zenless Zone Zero signal system is HoYoverse's gacha mechanic for pulling Agents and W-Engines on the Scarborough-style Signal Search board, built on a piecewise soft-pity curve. The Exclusive Channel (featured Agent) has a 0.6% base S-rank rate, soft pity starting around signal 75, hard pity at 90, and a 50/50 featured split with a lose-next-win-after failsafe — identical in structure to the Genshin Character Event banner and HSR's Character Event Warp. These values are confirmed by the Game8 ZZZ pity guide, the Prydwen gacha system guide, and the Mobalytics ZZZ gacha breakdown.
The W-Engine Channel is where ZZZ is unusually friendly. It has the highest base S-rank rate of any HoYoverse weapon-type banner at 1.0% (versus 0.7% in Genshin Weapon and 0.8% in HSR Light Cone), shorter soft pity starting around signal 65, and hard pity at 80 signals. The W-Engine Channel uses a 75/25 featured split with a lose-next-win-after failsafe: if you lose the 75/25 roll, your NEXT S-rank W-Engine is guaranteed to be the featured one, as documented in the Icy Veins W-Engine Channel guide. This structurally matches the HSR Light Cone banner (0.8%, 75/25, failsafe) and Genshin Weapon's Epitomized Path (75/25, 1-Fate-Point failsafe). The actual win for ZZZ is the higher base rate, which frontloads probability — at the same 80-signal budget the W-Engine Channel averages ~82% P(featured) versus ~78% for HSR Light Cone. Industry analysts at Naavik call ZZZ "HoYoverse's friendliest gacha" primarily because of this W-Engine rate bump plus the 7.05% A-rank rate (double Genshin's 3.33%).
The Stable Channel (Star-Studded Cast) is the permanent pool with no featured concept, identical base rates, and the same 90-signal hard pity as the Exclusive Channel. It also includes a one-time selector at 300 pulls for any standard S-rank Agent. The Bangboo Channel uses a different model entirely: 1% base rate, 80-signal hard pity, and a target-selector system where you pick which S-rank Bangboo you want before pulling — no 50/50 at all. Pity is channel-scoped, so your Exclusive, W-Engine, and Bangboo counters never share progress, but pity does carry over between consecutive banners of the same type. This means a 40/90 pity on the current Exclusive banner transfers intact to the next Exclusive banner when it rotates — a major quality-of-life win for planners.

How to calculate your ZZZ signal odds

Using this free online ZZZ signal calculator takes under a minute. The same steps also describe how to compute the math by hand if you want to verify the result against community trackers like rng.moe or stardb.gg's signal tracker.
1. Pick the channel: Exclusive (S-rank Agent), W-Engine (S-rank W-Engine), Stable (permanent pool with 300-pull selector), or Bangboo (target-selector pity). Each channel has its own base rate, soft-pity start, and hard-pity ceiling.
2. Enter your current pity — the number of signals since your last S-rank on that specific channel. Pity is channel-scoped and does not carry between Exclusive and W-Engine. Check the exact number in-game under History on each Signal Search board.
3. On the Exclusive and W-Engine channels, toggle "I lost the last 50/50 (or 75/25)" if your previous S-rank was not the featured one. The calculator then treats your next S-rank as guaranteed featured. On the Bangboo Channel this toggle is hidden — there is no coin flip, just a direct target selector.
4. Enter your signal budget. You can type signals directly, or enter Polychrome (160 Polychrome per signal) plus any Encrypted Master Tapes (Exclusive/W-Engine) or Master Tapes (Stable) or Boopons (Bangboo) in your inventory. The calculator auto-adds all ticket types that apply to the selected channel.
5. Read the output: probability of the featured S-rank, probability of any S-rank, expected number of signals to first featured, and worst-case signals. The 50/50 side-by-side card lets you compare "won" versus "lost" outcomes with the same budget — the core decision data for deciding whether to push on or wait.
The calculator runs as a pure analytic dynamic program over (pity, guaranteed) states — not a Monte Carlo simulation — so the same inputs always return the same exact probability. Nothing you enter leaves your browser, no account is required, and the tool is free forever.

ZZZ per-signal probability formula

PS(n)={r0n<sr0+k(n−s+1)s≤n<h1n=hP_S(n) = \begin{cases} r_0 & n < s \\ r_0 + k(n - s + 1) & s \le n < h \\ 1 & n = h \end{cases}
  • nn = Signal index since your last S-rank (1-indexed).
  • r0r₀ = Base rate per signal. 0.006 on Exclusive and Stable, 0.01 on W-Engine, 0.01 on Bangboo.
  • ss = Soft-pity start. Signal 75 on Exclusive/Stable, signal 65 on W-Engine, signal 65 on Bangboo.
  • hh = Hard pity. Signal 90 on Exclusive/Stable, signal 80 on W-Engine and Bangboo.
  • kk = Soft-pity ramp coefficient, approximately 10 × r₀ per signal. Produces the observed jump to ~6% on Exclusive and ~10% on W-Engine at the first soft-pity signal.
The calculator composes this per-signal rate with the featured split — 50/50 on the Exclusive Channel, 75/25 on the W-Engine Channel, 100% (target selector) on the Bangboo Channel, and no split at all on Stable — and applies the lose-next-win-after failsafe on both event channels. The dynamic program over (pity, guaranteed) states yields exact probabilities and a strict finite worst case: 180 signals for the Exclusive Channel, 160 signals for the W-Engine Channel, 80 signals for Bangboo (hard pity plus selector is a one-shot guarantee), and 90 signals for Stable per S-rank (no featured concept). Expected signals to first S-rank from pity 0 works out to roughly 62–65 on Exclusive and 62–66 on W-Engine because the higher 1.0% W-Engine base rate is partly offset by the shorter 80-signal cycle length.

ZZZ signal examples

Exclusive Channel — pity 0, 90 signals, 50/50 active

Starting from pity 0 with 90 signals and no active guarantee, P(any S-rank) is 100% because you will reach hard pity at signal 90. P(featured Agent) is about 56–59% — roughly half the time your guaranteed S-rank is the featured Agent, and in a smaller fraction of outcomes you trigger an early soft-pity S-rank plus a failsafe second S-rank. If you want the featured Agent with near-certainty, plan for 180 signals (two full cycles), the same ceiling Genshin and HSR impose on their character banners.

W-Engine Channel — pity 0, 80 signals, 75/25 active

From pity 0 with 80 signals on the W-Engine Channel you are guaranteed one S-rank W-Engine via hard pity, with a 75% chance it is the featured one directly. Adding the small probability of an extra soft-pity S-rank plus failsafe, P(featured W-Engine) lands around 82–83%. This is noticeably higher than HSR's equivalent 80-warp Light Cone case (~78%) because of ZZZ's higher 1.0% base rate and guaranteed failsafe. In Polychrome terms, that is 12,800 Polychrome for an ~82% shot — the cheapest guaranteed-adjacent weapon probability in any major HoYoverse title.

W-Engine Channel — 160 signals (strict worst case)

The W-Engine Channel failsafe means 160 signals guarantees the featured W-Engine 100% of the time. The first 80-signal cycle hits hard pity and delivers an S-rank W-Engine; if you lose the 75/25 (25% probability), the second 80-signal cycle is forced to deliver the featured W-Engine via the failsafe. The calculator displays exactly 100% at 160 signals — a finite guarantee that HSR's Light Cone banner also offers but Genshin's Weapon banner does not in all edge cases. In Polychrome: 25,600 Polychrome is the hard ceiling to guarantee any featured W-Engine, no exceptions.

Agent + signature W-Engine combo budget

Pulling an S-rank Agent plus their signature W-Engine in one patch requires a worst-case 180 + 160 = 340 signals, which is 54,400 Polychrome. Expected-case budgeting is closer to 120 + 80 = 200 signals (32,000 Polychrome) if you win both splits. The calculator runs both channels independently — set each budget separately based on how much risk you want to absorb. For context, 1 ZZZ patch (6 weeks) typically grants 80–110 signals of F2P income, so a combo pull realistically requires saving across 2–3 patches if you are not whaling.

Budget comparison table (Exclusive Channel, pity 0, 50/50 active)

The table below shows how probability scales with your signal budget on the Exclusive Channel starting from pity 0 with the 50/50 still active. Use these breakpoints to decide whether to commit or wait.
SignalsPolychromeP(any S-rank)P(featured Agent)Verdict
304,800~18%~9%Save more
609,600~40%~20%Save more
7512,000~52%~27%Gamble
8012,800~70%~38%Gamble
9014,400100%~57%Coin flip
14022,400100%~82%Likely
18028,800100%100%Guaranteed
The 90-signal row is the minimum safe budget; the 180-signal row is the absolute worst case. Anything below 90 signals is speculative — expected signals to first S-rank from pity 0 is ~62–65.

Cross-game comparison — same budget, three games

What does a single 90-signal budget buy you on each HoYoverse character banner at pity 0 with the 50/50 active? The table makes the comparison concrete.
GameBannerBase rateSoft pityHard pityP(featured @ 90 pulls)
ZZZExclusive0.6%7590~57%
GenshinCharacter Event0.6%7490~62% (with Capturing Radiance)
HSRCharacter Event0.6%7590~56%
NTELimited Character1.88%7090100% (no 50/50)
ZZZ sits roughly on par with HSR for character banners — the character-side mechanics are near-identical. Genshin's edge comes from Capturing Radiance's silent 10% lost-50/50 upgrade (Version 5.0+). The W-Engine Channel is where ZZZ actually pulls ahead of HSR, not the Agent side.

Tips for ZZZ signal planning

  • ZZZ's W-Engine Channel is the friendliest weapon banner in HoYoverse: 1.0% base rate, 80-signal hard pity, and a real failsafe. Treat 160 signals (25,600 Polychrome) as a strict guarantee and plan accordingly — this is the cheapest mathematical ceiling for any HoYoverse weapon banner.
  • On the Exclusive Channel, 180 signals (28,800 Polychrome) guarantee any featured Agent via the 50/50 failsafe — the same rule as Genshin Character and HSR Character banners. Budget the full 180 before committing to a must-have Agent, not just 90.
  • If you are pulling for both an Agent and their signature W-Engine, budget roughly 340 signals worst-case (54,400 Polychrome). Expected-case is closer to 200 signals (32,000 Polychrome) if luck holds. Realistically, this means saving across 2–3 patches for F2P accounts since one patch grants ~80–110 signals.
  • Results around 50–60% P(featured) mean you are in "gamble" territory. If you cannot stomach losing the 50/50, save up for a full second cycle before pressing signal — 140 signals puts you at ~82% featured, a much cleaner margin.
  • Anything at or above 90% P(featured) is effectively safe — the remaining risk is deep tail variance. At 100% the math guarantees the pull regardless of RNG. Never stop a pull session at 85 signals expecting hard pity to save you; one signal short of hard pity still rolls at the base rate.
  • ZZZ's W-Engine Channel and HSR's Light Cone banner share the same 75/25 split and failsafe structure, so the worst case is 160 pulls on both. The practical edge for ZZZ is the higher 1.0% base rate (vs HSR's 0.8%), which lands you featured sooner on average — not any difference in guarantee mechanics.
  • W-Engine Channel is the easiest weapon pity in HoYoverse — 1.0% base, real failsafe, 160-signal ceiling. If you're hesitating at signal 70, just push. You're closer than the UI makes it look. Soft pity triggers at 65 on W-Engine, so every pull from 65 onward is a visible rate cliff.
  • Don't sleep on the Bangboo Channel. It uses a target selector — you pick which S-rank Bangboo you want before pulling, and the next S-rank Bangboo is guaranteed to be that one. It only costs Boopons (F2P currency), so there is zero reason to skip it if a meta Bangboo releases.
  • Exclusive Channel pity carries over between banner rotations. Ending a banner at 70/90 is not wasted — that 70-signal bank transfers intact to the next Exclusive banner. Use this deliberately: if you are unsure about the current Agent but confident about next patch's, pull to ~40–70 pity on the current banner knowing it banks.
  • | P(featured) range | Verdict | Action | |-------------------|---------|--------| | 0–40% | Save | Stop pulling; stack Polychrome for next cycle | | 40–70% | Gamble | Only pull if losing is emotionally acceptable | | 70–90% | Likely | Green light for most players | | 90–99% | Safe | Pull now; residual risk is negligible | | 100% | Locked | Math guarantees the pull regardless of RNG | Bookmark this table as your decision grid for every ZZZ banner you ever open.

Frequently asked questions about ZZZ signals

Does the W-Engine Channel have a 50/50?

No — it's a 75/25 split. Each S-rank W-Engine has a 75% chance of being the featured one and a 25% chance of being from the standard pool. If you lose the 75/25 roll, the lose-next-win-after failsafe guarantees the next S-rank W-Engine is the featured one, capping the worst case at 160 signals. This is documented in the Icy Veins W-Engine guide.

How many pulls to guarantee a featured Agent in ZZZ?

180 signals. Hard pity at 90 guarantees one S-rank, and if you lose the 50/50, the failsafe makes the next S-rank guaranteed featured. 180 signals is 28,800 Polychrome. This ceiling matches Genshin Impact and Honkai: Star Rail — ZZZ does not have a shorter character-banner guarantee than its sibling titles.

How many signals to guarantee a featured W-Engine?

160 signals. Hard pity at 80 guarantees one S-rank W-Engine, and the 75/25 failsafe guarantees the featured one on the next S-rank after a loss. 160 signals is 25,600 Polychrome — the cheapest worst-case guarantee among HoYoverse weapon banners (Genshin Weapon's 1-Fate-Point path also caps at 160 pulls / 25,600 Primogems).

When does soft pity start on the W-Engine Channel?

Signal 65. From there, the S-rank rate ramps sharply each pull until hitting 100% at signal 80. The Exclusive and Stable channels start their soft pity at signal 75 instead, and the Bangboo Channel starts around signal 65 similar to W-Engine.

Is pity shared between the Exclusive and W-Engine channels?

No. Pity in ZZZ is channel-scoped. Your Exclusive pity, W-Engine pity, Bangboo pity, and Stable pity are all tracked separately. Pity does, however, carry over between consecutive banners of the same type — a 40/90 Exclusive pity transfers intact when the next Exclusive Agent rotates in.

Is the W-Engine Channel better than HSR's Light Cone banner?

Slightly. Both use a 75/25 split with a failsafe and have an 80-pull hard pity, so the strict worst case is identical (160 pulls). ZZZ's edge is the higher 1.0% base rate (vs HSR's 0.8%), which means the probability curve frontloads more and you'll hit the featured W-Engine sooner on average. At an 80-signal budget, ZZZ averages ~82% P(featured) versus HSR's ~78%.

How much does an M6 Agent cost in ZZZ?

M6 (Mindscape 6) means owning 7 total copies of an S-rank Agent — the original plus 6 duplicates. Expected-case is roughly 7 × ~120 signals ≈ 840 signals (134,400 Polychrome). Worst-case is 7 × 180 = 1,260 signals (201,600 Polychrome). In practice nearly all M6 runs on a limited Agent are whale territory and fall between 900 and 1,100 signals, with M6 + signature W-Engine typically quoted at 180,000–220,000 Polychrome.

Does the Bangboo Channel have a 50/50?

No. The Bangboo Channel uses a target-selector system — you pick which S-rank Bangboo you want before pulling, and the next S-rank Bangboo is guaranteed to be that selection. Hard pity is 80 signals, base rate is 1%, and Bangboo pulls cost Boopons (a free-to-play-only currency), so the Bangboo Channel is effectively the most f2p-friendly banner in any HoYoverse title.

How many pulls per patch does ZZZ give free-to-play players?

Roughly 80–110 signals (12,800–17,600 Polychrome) per 6-week patch, depending on event density and Hollow Zero completion. This is comparable to Genshin and HSR's 80–100 pulls per patch. Plan combo pulls (Agent + signature W-Engine) across 2–3 patches if you are F2P.

Is this ZZZ signal calculator free to use?

Yes. The calculator runs entirely in your browser, no login required, no data stored. Enter your pity, budget, and channel to get instant probabilities. Nothing you type is sent to a server, and we do not track pull history.

How accurate are the probabilities shown?

The math engine is a pure analytic dynamic program over (pity, guaranteed) states — no Monte Carlo simulation. Results were cross-validated against 100,000-trial simulations and match published ZZZ pity figures from Game8, Mobalytics, and Prydwen within 0.05 percentage points.

ZZZ gacha glossary

Signal

The ZZZ name for a single gacha pull. Costs 160 Polychrome or 1 Encrypted Master Tape (event channels) / 1 Master Tape (Stable) / 1 Boopon (Bangboo).

Signal Search

The full name of the ZZZ gacha system. Covers four channels: Exclusive, W-Engine, Stable (Star-Studded Cast), and Bangboo.

Pity

Signals since your last S-rank on a given channel. Resets after every S-rank and is channel-scoped. Pity does carry between consecutive banners of the same type (e.g., Exclusive-to-Exclusive).

Soft pity

The steep ramp in S-rank drop rate that starts at signal 75 on the Exclusive/Stable channels and signal 65 on the W-Engine and Bangboo channels. Per-pull odds jump roughly tenfold at soft pity entry.

Hard pity

The guaranteed-S-rank signal at pity 90 (Exclusive/Stable) or 80 (W-Engine/Bangboo). Reaching hard pity forces an S-rank drop on the next signal.

50/50

The 50% chance that an S-rank on the Exclusive Channel is the featured Agent. Has a failsafe: losing once guarantees featured next. Losing carries across banners until you win.

75/25

The 75% chance that an S-rank on the W-Engine Channel is the featured W-Engine. Also has a failsafe, matching HSR's Light Cone banner structure. Worst case is 160 signals for a guaranteed featured W-Engine.

Mindscape (M0-M6)

An Agent's upgrade tier. M0 is the base Agent; each duplicate S-rank pull upgrades Mindscape by one level up to M6. Analogous to Genshin constellations (C0-C6) or HSR eidolons (E0-E6). M6 = 7 total copies owned.

Polychrome

Base premium currency in ZZZ. 160 Polychrome equals one signal. F2P income is approximately 12,800–17,600 Polychrome per 6-week patch.

Encrypted Master Tape

Event signal ticket used on the Exclusive and W-Engine channels. One Tape equals one signal. Does not carry between Exclusive and W-Engine — the ticket type determines the channel.

Master Tape

Standard signal ticket used exclusively on the Stable (Star-Studded Cast) channel. Mainly earned through gameplay, not the premium shop.

Boopon

The dedicated Bangboo Channel currency. Earned through gameplay and events — Boopons cannot be purchased, making the Bangboo Channel entirely free-to-play in its pull cost.

Stable Channel selector

A one-time free S-rank selector awarded at 300 total pulls on the Stable (Star-Studded Cast) channel. Lets you pick any standard-pool S-rank Agent directly, capping the standard-banner grind at a finite cost.

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