Short answer: pulling for a featured Sinner in Path to Nowhere costs an average of roughly $139 if you get reasonable luck on the 50/50, and as much as $422 in the worst realistic case where you lose the rate-up and have to grind a second full pity cycle. The base S-Class rate is 2% per pull, soft pity starts climbing after pull 50, and hard pity guarantees a top-rarity Sinner by pull 80. Below is every number behind that math, sourced from Bluepoch’s in-game rate disclosures, third-party rate trackers, and the official App Store shop listing, plus a full pity-cost table and a step-by-step expected value walkthrough you can follow with your own currency balance.
What Are Path to Nowhere’s Actual Pull Rates?
Path to Nowhere runs on a two-tier rarity system: S-Class Sinners sit at the top, and A-Class sits one rung below. Rate tracking sites that mirror the in-game rate disclosure, including GachaData’s published rate table, list the S-Class base rate at 2% per pull and the A-Class base rate at 18% per pull for the first 50 pulls on a banner. That 2% figure holds flat, pull after pull, with no upward drift, until you cross the 50-pull mark. There’s no hidden pity meter ticking up the odds early the way some competitor games do it.
The recruitment system in Path to Nowhere is called an Arrest rather than a summon or gacha pull, and the consumable item spent per attempt is called an Arrest Warrant. You don’t need to hold warrants in inventory to pull, though: the game will automatically convert your premium currency into warrants at the moment you tap the banner, so most players never see the intermediate step at all.
How the Soft Pity and Hard Pity System Works
Pity in Path to Nowhere is a two-stage climb. From pull 1 through pull 50, the S-Class rate sits fixed at 2%. Once you pass pull 50 without hitting an S-Class, the game enters what players call soft pity, where the odds start rising with every additional pull that doesn’t land the top rarity. Where the two most-cited rate trackers disagree is exactly how steep that climb is. PityCalculator’s Path to Nowhere tool describes the rate rising from 2% toward roughly 6% through the soft-pity window, while GachaData’s recruitment rate table lists the draw-51-through-70 band at closer to 10%. Treat the exact shape of that ramp as approximate, since Bluepoch hasn’t published a public per-pull rate curve. What both trackers agree on completely is the hard pity ceiling: by pull 80, the S-Class rate hits 100%, guaranteeing a top-rarity Sinner no matter what.
GachaData’s own aggregate dataset reports the blended average S-Class rate, once you fold pity back into the math across a full 80-pull cycle, at 2.84% per pull. That single number is more useful than the disputed ramp curve for anyone trying to estimate real spending, because it already accounts for the fact that some pulls land the S-Class early at 2% odds and others get pulled forward by the climbing pity. That 2.84% figure is the backbone of the expected value math further down this page.
The 50/50 Rate-Up Mechanic, Explained
Landing an S-Class doesn’t automatically mean you got the Sinner featured on the banner art. Path to Nowhere runs a rate-up split: of every S-Class pulled on an active Event Arrest, roughly 50% will be the featured Sinner and the other half will be a random S-Class from the standing pool. That’s the same 50/50 structure players of Genshin Impact or Honkai Star Rail will recognize, just applied to a 2%-base, 80-pity system instead of a lower-base, longer-pity one.
The part that actually matters for your wallet is what happens when you lose that coin flip. According to Path to Nowhere’s community-documented banner rules, confirmed by long-time players on the game’s subreddit and mirrored in GachaData’s rate tables, losing the rate-up is not a dead pull. It guarantees that the very next S-Class you pull on that banner will be the featured one. In practice that means the absolute maximum number of pulls you’ll ever need to lock in a specific featured Sinner is 160: 80 pulls to force your first S-Class through hard pity, and if that one isn’t the featured unit, 80 more to force the second one, which is then guaranteed to be it.
What a Pull Actually Costs: Hypercubes and Ultracubes
Path to Nowhere’s currency stack has two layers. Hypercubes are the in-game soft currency earned from missions, events, and login rewards, and they can be spent directly on Arrest Warrants. Ultracubes are the currency purchased with real money, and they convert into Hypercubes at a 1:1 rate, according to third-party top-up trackers that monitor the exchange. That means every dollar spent on Ultracubes is worth exactly the same number of pulls as an equivalent amount of free Hypercubes.
A single Arrest Warrant costs 180 Hypercubes. A 10-pull costs 1,800 Hypercubes, exactly ten times the single-pull price with no bulk discount baked in. That flat-rate pricing is worth noting because several other gacha titles quietly shave a percent or two off bundled 10-pulls; Path to Nowhere doesn’t.
Buying Hypercubes at the Best Real-Money Rate
Ultracube packs on the App Store come in at least three tiers, and the per-cube price gets better as the pack gets bigger. The 300-cube pack runs $4.99, working out to about 1.66 cents per cube. The 980-cube pack runs $14.99, or about 1.53 cents per cube. The largest publicly listed pack, 1,980 cubes for $28.99, comes out to roughly 1.46 cents per cube, which is the rate used for every cash-cost figure in this article. If a storefront offers a larger bundle regionally, the real cost per pull could be marginally lower than what’s calculated here.
| Ultracube Pack | Price (USD) | Cost per Cube |
|---|---|---|
| 300 Ultracubes | $4.99 | $0.0166 |
| 980 Ultracubes | $14.99 | $0.0153 |
| 1,980 Ultracubes | $28.99 | $0.0146 |
| Black Key VIP (30 days) | $4.99 | N/A — subscription perk |
| Weekly Arrest Gift Pack | $0.99 | N/A — discounted warrant bundle |
The Worked Pity-Cost Table
Here’s every milestone converted into Hypercubes and real dollars, using the 180-Hypercube pull price and the $0.0146-per-cube best-value rate from the 1,980 Ultracube pack. This is the table to bookmark before deciding whether a banner is worth opening your wallet for.
| Milestone | Pulls | Hypercubes | Real Cost (USD) |
|---|---|---|---|
| Single pull | 1 | 180 | $2.64 |
| 10-pull | 10 | 1,800 | $26.35 |
| Expected pulls for any S-Class (avg. rate) | ~35 | ~6,338 | ~$93 |
| Hard pity (guaranteed S-Class) | 80 | 14,400 | $211 |
| Expected cost for the featured Sinner (accounts for the 50/50) | ~53 | ~9,507 | ~$139 |
| Worst-case guarantee for the featured Sinner | 160 | 28,800 | $422 |
The gap between the roughly $139 expected cost and the $422 absolute worst case is the entire story of gacha economics in one row. Most players land somewhere in between those two figures, but budgeting for the featured Sinner specifically means budgeting closer to the worst case if running dry mid-banner isn’t an option.
Step-by-Step Expected Value Calculation
Expected value, or EV, is the average outcome you’d see if you ran the same pull sequence thousands of times and averaged the results. Here’s how the roughly $139 figure above was actually built, using only the rates cited earlier in this piece.
- Start with the blended S-Class rate. GachaData’s rate table puts the average S-Class probability, inclusive of pity, at 2.84% per pull.
- Invert it to get expected pulls per S-Class. 1 ÷ 0.0284 = 35.2 pulls, on average, to land any S-Class Sinner.
- Apply the 50/50. Half the time, that first S-Class is the featured Sinner, so the total spend is just those 35.2 pulls.
- Account for losing the coin flip. The other half of the time, a second S-Class is needed, which is guaranteed to be featured. That second cycle averages another 35.2 pulls, for a running total of 70.4 pulls in that branch.
- Weight both branches. EV = (0.5 × 35.2) + (0.5 × 70.4) = 17.6 + 35.2 = 52.8 pulls, on average, to walk away with the featured Sinner.
- Convert to currency. 52.8 pulls × 180 Hypercubes = 9,507 Hypercubes.
- Convert to dollars. 9,507 Hypercubes × $0.0146 per cube ≈ $139.
That $139 figure is an average, not a promise. Roughly half of all players pulling on a given featured banner will spend less than that, and roughly half will spend more, right up to the $422 hard ceiling. Anyone who wants a number to budget around with more certainty than an average provides should save toward the $422 worst-case figure instead, since that’s the amount that guarantees the outcome regardless of luck.
Five Worked Examples With Real Numbers
Example 1: The free-to-play grinder. A player who saves the Hypercube equivalent of 15 currency per day from missions and events for two months banks roughly 900 Hypercubes, or 5 pulls. At the 2% base rate, that’s about a 9.6% cumulative chance of hitting an S-Class in that window, with no guarantee it’s the featured one even if they do.
Example 2: The single 980-pack buyer. Spending $14.99 on a 980-Ultracube pack buys 5 pulls (900 cubes used, 80 left over). Cumulative S-Class odds across 5 pulls at a flat 2% rate sit under 10%, so this purchase functions as a lottery ticket rather than a plan.
Example 3: Budgeting for the average case. A player who sets aside $139, the EV figure calculated above, and pulls until either hitting the featured Sinner or running out, will land the unit slightly more often than not, since $139 covers the average of 52.8 pulls almost exactly.
Example 4: Budgeting for hard pity only. A player who saves exactly $211 (80 pulls, 14,400 Hypercubes) is guaranteed an S-Class of some kind, but has only a 50% chance it’s the one they wanted. That’s the guaranteed-rarity-not-guaranteed-unit trap that catches a lot of first-time spenders.
Example 5: Budgeting for certainty. A player who saves the full $422 (160 pulls, 28,800 Hypercubes) is mathematically guaranteed to walk away with the featured Sinner, no matter how the coin flips land. That’s roughly three times the average-case spend, which is the real price of eliminating risk entirely.
Does Pity Carry Over Between Banners?
Path to Nowhere splits its pity counters by banner type rather than running one universal counter. Event Arrest pity carries forward from one Event banner to the next Event banner, and Routine Arrest pity carries forward between Routine banners, but the two pools don’t share progress with each other or with the Regular banner pool. In practice, grinding on a Routine banner won’t shave pulls off pity count the next time a limited Event Sinner shows up, so timing saved currency for the specific banner type being targeted matters more than stockpiling generically.
There’s also a secondary floor worth knowing about: every 10 pulls on a banner guarantees at least an A-Class result, so the worst possible outcome from a single 10-pull is never a wall of filler rarities. It’s a soft consolation mechanic rather than anything that meaningfully improves S-Class odds, but it does cap how bad a single 10-pull can go.
Cutting the Cost: VIP Passes and Login Rewards
Path to Nowhere sells a Black Key VIP pass for $4.99 covering 30 days, which layers in daily login bonuses and account perks rather than a straight currency discount. There’s also a Weekly Arrest Gift Pack at $0.99 that bundles a small number of discounted warrants, useful for topping off a near-pity count without buying a full Ultracube tier that isn’t needed. Neither of these meaningfully changes the EV math above; they shave a few dollars off the margins rather than the core cost of chasing a featured Sinner. Anyone trying to hit the roughly $139 average or the $422 worst case should treat these as small discounts on the total, not as separate paths to the unit.
How Path to Nowhere’s Odds Stack Up Against Other Gacha Games
Every gacha economy trades off base rate against pity length differently, and Path to Nowhere lands favorably compared to other major live-service titles covered previously on this site. Genshin Impact’s featured character banner runs a lower 0.6% base rate but a longer 90-pull hard pity. Wuthering Waves runs a similar 0.8% base rate with an 80-pull hard pity, roughly matching Path to Nowhere’s pity length while starting from a lower base. NIKKE’s Special Recruit banner, by contrast, runs a 2% featured rate identical to Path to Nowhere’s S-Class base, but stretches its guarantee window out to a 200-pull mileage cap instead of a 160-pull worst case.
| Game | Top-Rarity Base Rate | Hard Pity | Worst-Case Guarantee (Featured Unit) |
|---|---|---|---|
| Path to Nowhere | 2% | 80 pulls | 160 pulls |
| Genshin Impact | 0.6% | 90 pulls | 180 pulls |
| Wuthering Waves | 0.8% | 80 pulls | 160 pulls |
| NIKKE | 2% | — | 200-pull mileage cap |
This comparison shows Path to Nowhere’s 2% base rate is genuinely higher than most of its closest competitors, which is why its expected-value cost per featured unit lands lower than a lot of the games in this genre. A higher base rate paired with a shorter pity cycle is, mathematically, the friendlier combination for a player’s wallet, even before factoring in the 50/50 mechanic.
Myths vs. Facts About Path to Nowhere’s Gacha System
Myth: Hitting hard pity at pull 80 guarantees the featured Sinner. Fact: hard pity only guarantees an S-Class rarity, not the specific featured unit. Players still face the 50/50 split on which S-Class they receive.
Myth: Losing the 50/50 means starting over from scratch. Fact: losing the coin flip guarantees the next S-Class pulled is the featured one, so the system never resets progress toward that specific Sinner to zero.
Myth: A 10-pull is cheaper per pull than buying single pulls. Fact: Path to Nowhere charges a flat 180 Hypercubes per pull whether buying one at a time or in a bundle of ten. There’s no bulk discount built into the pull price itself.
Myth: Grinding on any banner builds pity toward the target banner. Fact: pity counters are split by banner type. Routine Arrest progress doesn’t carry into Event Arrest banners, so off-target grinding won’t shorten the path to a specific featured unit.
Myth: The soft-pity ramp is a precisely known, published curve. Fact: Bluepoch hasn’t released an official per-pull rate table for the soft-pity window, and the third-party trackers that estimate it don’t fully agree with each other. Only the 2% starting rate and the 80-pull hard pity ceiling are consistently confirmed across sources.
Is Spending Money on Path to Nowhere Actually Worth It?
Whether the roughly $139 average cost is worth it depends entirely on what it’s being compared to. Against a full-price console game, spending $139 for one character is a hard sell. Against other gacha games in this same genre, where a single featured unit routinely runs $250 to $450 based on the figures in the comparison table above, Path to Nowhere’s combination of a higher base rate and a shorter pity cycle makes it one of the more forgiving live-service economies currently active. The number that should actually drive a spending decision isn’t the average case, it’s personal risk tolerance: anyone who can’t accept a scenario where they spend $422 and still only get exactly what the game promised at hard pity shouldn’t start pulling with a hard budget cap they aren’t willing to raise.
The math above also assumes buying currency at the best available per-cube rate, from the largest Ultracube pack. Buying smaller packs piecemeal, or repeatedly topping off with the $0.99 Weekly Arrest Gift Pack instead of planning ahead, pushes the real cost above every figure quoted here. If a specific Sinner matters enough to spend real money on, buying the 1,980-cube pack in bulk ahead of time is the only way to actually land in the $139-to-$422 range calculated in this article.
Frequently Asked Questions
What is the base S-Class rate in Path to Nowhere?
The base rate is 2% per pull, holding flat from pull 1 through pull 50 before soft pity begins.
What pull number is hard pity in Path to Nowhere?
Hard pity lands at pull 80, guaranteeing an S-Class Sinner on that pull if one hasn’t already dropped.
How much does it cost to guarantee the featured Sinner?
The absolute worst case is 160 pulls, costing 28,800 Hypercubes, or about $422 at the best available Ultracube rate. The average expected cost, accounting for the 50/50, comes out to roughly $139.
Does losing the 50/50 in Path to Nowhere waste your pulls?
No. Losing the rate-up guarantees the next S-Class pull will be the featured Sinner, so the pity system carries progress forward rather than resetting it.
How many Hypercubes does one pull cost?
One Arrest Warrant, the item used for a single pull, costs 180 Hypercubes. A 10-pull costs 1,800 Hypercubes with no bulk discount.
Do Ultracubes convert directly into Hypercubes?
Yes, at a 1:1 rate according to third-party trackers monitoring the exchange, meaning the real-money cost per pull is determined entirely by which Ultracube pack is purchased.
Does pity carry over between different banners?
Only within the same banner type. Event Arrest pity carries to the next Event banner and Routine Arrest pity carries to the next Routine banner, but the two pools don’t share progress with each other.
Is Path to Nowhere’s gacha system better or worse than average?
Its 2% base rate is higher than most comparable games, and its 80-pull hard pity is on the shorter end, which puts its expected cost per featured unit below several of its closest competitors in this genre.
