A single Saint Quartz pull in Fate/Grand Order has a flat 1% chance of landing an SSR Servant, and the game publishes no soft pity to nudge that number up as you go on losing streaks. The only guaranteed floor is the 330-pull spark, where the featured SSR becomes yours outright. Reaching that guarantee from zero costs 990 Saint Quartz, which runs about $480 if you buy the largest available currency pack. Most players never need to spend that much: at the published featured-SSR rate of roughly 0.7%-0.8% per roll, the math says you should land the unit somewhere between pull 116 and pull 129 on average. This piece walks through where those numbers come from, what they cost in real dollars, and whether a pull is worth the money.
What Is the Fate/Grand Order Pity System?
The Fate/Grand Order pity system, officially called the Rate-Up SSR Pity System, is built differently from most modern gacha games. There is no rising soft pity curve that raises your odds after a bad streak. Instead, FGO uses a flat probability on every single roll combined with a hard ceiling: pull enough times on one banner and the game hands you the featured SSR Servant directly, no roll required. Aniplex calls this the spark, and it activates at exactly 330 pulls on eligible limited banners.
That structure puts FGO’s pity system closer to a lottery with a consolation prize than to the escalating-odds model used by games like Genshin Impact or Honkai: Star Rail. Every pull carries the same base risk from roll 1 to roll 329. According to pity-tracking site GachaWiki, the featured SSR “takes roughly 0.7 points of the 1% rate” on a standard single-character banner, with the remaining share split among other SSR Servants and Craft Essences in the pool. A separate pity calculator lists the featured rate as commonly 0.8% for the featured SSR on solo pickup banners, dropping to roughly 0.4% when a banner splits rate-up across two Servants.
Because both figures come from independent trackers rather than an official Aniplex probability disclosure, this article uses the lower, more conservative 0.7% rate for its worked math and notes the 0.8% figure as the more optimistic case. Every number below is derived from those two published rates, the 3-Saint-Quartz cost per pull, and the current US Saint Quartz pack prices. Nothing here is estimated or invented.
FGO’s Base SSR Rate: The 1% Flat Odds Explained
Every Saint Quartz summon in Fate/Grand Order carries a 1% chance of producing an SSR-rarity result, whether that’s a Servant or a Craft Essence. That figure has stayed fixed for years and does not move as you pull, which is what separates FGO from the pity systems covered in Genshin Impact’s 50/50 system or Honkai: Star Rail’s warp odds, both of which ramp probability up sharply after a set number of pulls.
On a limited rate-up banner, that 1% SSR pool is shared between the featured Servant and every other SSR Servant or Craft Essence currently in circulation. A single-character rate-up banner sends roughly 0.7 to 0.8 percentage points of that 1% toward the featured unit, per the pity calculators cited above. Split banners, where two Servants share rate-up status, cut the featured share to closer to 0.4% each, since the pool now divides between two targets instead of one.
One structural quirk works in the player’s favor: a 10x Saint Quartz summon (30 SQ) guarantees at least one 4-star-or-higher result in that batch. That guarantee floor applies to rarity, not to Servants specifically, so the guaranteed card can land as a 4-star Craft Essence rather than a Servant, and it does nothing to change the underlying 1% SSR chance on any individual roll within the batch. Anyone chasing a specific Servant should treat the 10-pull guarantee as a rarity floor, not a shortcut to the unit they want.
The 330-Pull Spark: FGO’s Hard Pity Explained
The spark is FGO’s only guaranteed pity mechanism, and it is set at 330 pulls on eligible limited banners. Every pull on that banner counts toward the 330 total, whether it returns a duplicate, an off-rate SSR, or nothing at all. GachaWiki describes it plainly: the counter “re-arms every 330 rolls and resets when the banner ends,” meaning unused progress toward the spark does not carry over once a banner’s run is over.
At 3 Saint Quartz per pull, 330 pulls works out to exactly 990 Saint Quartz. That is the full, guaranteed cost of the featured SSR if pure bad luck carries you all the way to the hard cap. There’s no 50/50 coin-flip step and no pity carryover between banners, which GachaWiki’s pity systems comparison flags directly: FGO has “no 50/50 and no loss protection.” Whatever you spark, you keep, and there is no risk of winning the roll and getting a different unit than the one you were chasing, unlike the 50/50 mechanic used in games covered in our Genshin Impact pity breakdown.
Because the 330-pull spark is a hard ceiling rather than a rising curve, most players never reach it. The math below shows that roughly 90% of players secure the featured SSR through ordinary luck well before hitting pull 330. The spark exists purely as a backstop against the unlucky 10%, and treating it as the “expected” cost overstates what a typical pull campaign runs.
Why FGO Has No Soft Pity (And What That Means for You)
Soft pity is the mechanic where a game quietly raises your odds after a set number of failed pulls, so a losing streak becomes statistically less likely to continue. Games like Wuthering Waves and Zenless Zone Zero both use soft pity to compress the tail end of bad luck. FGO does not. Pity-tracking sites list FGO’s soft pity value as “none” across every banner type, including the Story Summon pool and standard limited banners.
The practical effect is that a player on pull 300 of a spark run has exactly the same odds on their next roll as a player on pull 5. There’s no rate curve pulling them back toward a win. That flat-probability design is closer to a real-world lottery draw than to the accelerating-odds systems most modern gacha games use, and it’s part of why a small number of FGO players do end up spending the full 990 Saint Quartz on a single Servant. Roughly 1 in 10 will, going by the published rate.
This also means variance in FGO is wider than in games with soft pity. A soft-pity system compresses outcomes toward the middle: most players land the unit in a fairly narrow pull-count window. A flat-rate system like FGO’s spreads outcomes across a much longer tail, so two players spending identical amounts of money can end up with wildly different results, one sparking naturally on pull 40, another grinding out all 330.
The FGO Pity Cost Table: Pulls, Saint Quartz, and USD
The table below prices out pity progress at set pull counts, using the 3 Saint Quartz-per-pull cost and the best available Saint Quartz rate ($79.99 for 167 SQ, or roughly $0.479 per Saint Quartz). This is the actual worked pity-cost table for Fate/Grand Order’s 330-pull guarantee, priced in both Saint Quartz and current US cash-pack cost.
| Pulls | Saint Quartz Needed | USD Cost (best pack rate) | What It Buys |
|---|---|---|---|
| 1 | 3 SQ | ~$1.44 | Single roll, 1% SSR / ~0.7-0.8% featured chance |
| 10 (1 multi-pull) | 30 SQ | ~$14.37 (bulk) / $21.95 (smallest packs) | Guaranteed 4-star+ item in the batch |
| 55 | 165 SQ | $79.99 (one large pack) | ~32% cumulative chance at featured SSR |
| 110 | 330 SQ | ~$158.10 | ~54% cumulative chance at featured SSR |
| 165 (halfway to spark) | 495 SQ | ~$237.10 | ~69% cumulative chance at featured SSR |
| 250 | 750 SQ | ~$359.85 | ~83% cumulative chance at featured SSR |
| 330 (hard pity / spark) | 990 SQ | ~$479.94 (six 167-SQ packs) | 100% guaranteed featured SSR |
The USD figures in this table use the most efficient available Saint Quartz pack, the $79.99 bundle for 167 total Saint Quartz. Buying six of those packs supplies 1,002 Saint Quartz, four pulls more than the 990 needed to spark, at a real-world cost of $479.94. Mixing in smaller packs to hit the number exactly comes out slightly higher, around $482.90, so $480 is the practical, round-number answer to “what does a guaranteed FGO SSR cost.”
Saint Quartz Pack Prices: What a Pull Actually Costs
Saint Quartz pricing scales in FGO’s favor the more you buy at once, which is standard for gacha currency but worth laying out plainly before running any expected-value math. These are the current US pack prices, confirmed via the Fate/Grand Order (English) App Store listing and cross-checked against regional pricing data for FGO.
| Pack | Total Saint Quartz | USD Price | Cost per SQ |
|---|---|---|---|
| Smallest | 1 SQ | $0.99 | $0.990 |
| Starter | 5 SQ (4 paid + 1 bonus) | $3.99 | $0.798 |
| Mid | 18 SQ (12 paid + 6 bonus) | $11.99 | $0.666 |
| Value | 41 SQ (25 paid + 16 bonus) | $23.99 | $0.585 |
| Large | 76 SQ (42 paid + 34 bonus) | $39.99 | $0.526 |
| Largest | 167 SQ (86 paid + 81 bonus) | $79.99 | $0.479 |
Every pack blends purchased Saint Quartz with bonus Saint Quartz, and the bonus ratio grows with pack size, which is why the per-unit price drops from $0.99 at the smallest tier to $0.479 at the largest. A single pull costs 3 Saint Quartz, so the effective cash cost per pull ranges from about $2.97 at the smallest pack down to roughly $1.44 at the largest. Anyone budgeting a spark run should buy the $79.99 packs exclusively; mixing in smaller packs to hit an exact Saint Quartz total costs more per pull than simply rounding up to another large pack.
Expected Value: How Many Pulls Until You (Probably) Win
Expected value in a flat-rate, hard-capped system like FGO’s is calculable with a standard capped-geometric-distribution formula: sum the probability-weighted pull count for every pull from 1 to 329, then add the probability of reaching the guaranteed 330th pull times 330. Run that formula against the two published featured-SSR rates and the result is a real, math-backed answer, not a guess.
At the conservative 0.7% featured rate, the expected number of pulls to land the SSR works out to about 129. At the more optimistic 0.8% rate cited by West Games, that drops to about 116. Converting pulls to Saint Quartz (3 SQ per pull) and then to dollars at the best pack rate ($0.479/SQ) gives an expected cash cost of roughly $167 to $185 for the average player chasing one featured Servant, well under half of the $480 hard-pity ceiling.
That gap between the expected cost (~$167-$185) and the guaranteed-worst-case cost (~$480) is the whole story of FGO’s pity design. Because there’s no soft pity smoothing out variance, the distribution of actual outcomes is wide: some players spark the unit in 20 pulls for under $10, others grind through all 330 and pay full price. The expected value sits closer to the low end because a 1%-per-roll chance compounds fast across dozens of attempts, but it does not protect any individual player from bad luck. Budgeting for the expected cost and then getting unlucky is the single most common regret cited in FGO spending discussions.
Cumulative Probability Table: Your Odds at Every Checkpoint
This table shows the running probability of having landed the featured SSR by a given pull count, calculated directly from the two published featured rates using the standard cumulative formula 1 – (1 – rate)^pulls.
| Pulls | Cumulative Chance (0.7% rate) | Cumulative Chance (0.8% rate) |
|---|---|---|
| 10 | 6.8% | 7.7% |
| 30 | 19.0% | 21.4% |
| 50 | 29.6% | 33.1% |
| 100 | 50.5% | 55.2% |
| 150 | 65.1% | 70.0% |
| 200 | 75.5% | 79.9% |
| 250 | 82.7% | 86.6% |
| 300 | 87.8% | 91.0% |
| 330 (spark) | 100% | 100% |
The 330-pull row reads 100% because the spark guarantees the Servant regardless of luck. Everything before that row is genuine probability: at pull 100, a player has already crossed the 50% mark under the conservative rate, meaning it’s a coin flip whether they’ve already won or are still pulling. By pull 250, roughly five in six players have secured the unit, leaving only a shrinking minority who go the distance to 330.
5 Worked Examples: What Different Spending Levels Buy You
Example 1: The $0.99 single pull. A single Saint Quartz purchased for $0.99 doesn’t even cover one pull, which costs 3 SQ. A player would need to buy at least the $3.99 pack (5 SQ) to afford one roll, giving a 0.7%-0.8% shot at the featured SSR on that single attempt.
Example 2: One 10-pull for $21.95. Buying just enough Saint Quartz (30 SQ) via the smallest applicable packs (18 SQ + 5 SQ + 5 SQ + 1 SQ + 1 SQ) costs $21.95 and guarantees a 4-star-or-higher item somewhere in the batch, plus roughly a 6.8%-7.7% cumulative shot at the featured SSR across those 10 rolls.
Example 3: One large pack, 55 pulls for $79.99. The single largest Saint Quartz pack (167 SQ) funds 55 pulls, putting cumulative odds at roughly 32%-36% depending on which published rate applies. Just over one in three players clear the featured SSR on this budget alone.
Example 4: Chasing the expected value, ~$175 for ~120 pulls. Spending around $175 on Saint Quartz (roughly two large packs plus change) funds close to 120-130 pulls, matching the calculated expected-value point where the average player secures the featured SSR. Actual results still vary; this is a midpoint, not a promise.
Example 5: Guaranteeing the spark, $480 for 330 pulls. A player who buys six of the $79.99 packs spends $479.94 for 1,002 Saint Quartz, enough for 334 pulls, four more than the 330 needed to spark. This is the only spending level in FGO that removes luck from the equation entirely.
Solo Rate-Up vs Split Banners: Why Your Odds Can Be Cut in Half
Not every FGO banner offers the same featured-SSR odds. A solo rate-up banner, where one Servant gets the full spotlight, gives that Servant roughly 0.7%-0.8% of the total 1% SSR pool per the pity calculators cited earlier. A split banner, where two Servants share featured status, cuts that individual share to closer to 0.4% each, since both units draw from the same 1% pool.
The 330-pull spark still applies on split banners, but a player chasing one specific Servant out of a pair effectively faces double the wait, since half their SSR luck is “wasted” on pulling the other featured unit instead. Anyone deciding whether to pull on a given banner should check whether it’s a solo or split rate-up before budgeting, since the practical odds and expected cost roughly double on split banners.
Story Summon Banners Work Differently
FGO’s Story Summon pool, used for certain permanent and semi-permanent banners, keeps the same flat 1% SSR base rate but does not carry the 330-pull spark system at all. Pity calculators list the Story Summon pool as having no guaranteed pity for a specific Servant, meaning a player pulling on that pool has no hard ceiling and no guaranteed floor beyond the general SSR chance. That distinction matters because not every banner in the game behaves like the limited rate-up banners this article’s math applies to; always confirm a banner’s type before assuming the 330-pull guarantee is active.
Is the FGO Pity System Fair? Comparing It to Other Gacha Games
“Fair” in gacha terms usually means whether the published rates match a game’s actual payout behavior and whether the pity ceiling is reachable within a reasonable budget. FGO’s rates are consistent across independent tracking sites, and the 330-pull spark is a hard, published number that Aniplex has kept stable for years, which supports the game’s fairness on a mechanical level.
Where FGO differs from most of its competitors is variance, not fairness. Games with soft pity, such as the systems covered in our Wuthering Waves pity breakdown and Zenless Zone Zero gacha rate analysis, compress outcomes so most players land the unit in a predictable window before hitting hard pity. FGO’s flat-rate, no-soft-pity design spreads outcomes across the entire 330-pull range with no smoothing, which means the guaranteed-worst-case cost ($480) sits much further from the expected cost ($167-$185) than in games with soft pity built in. Neither approach is inherently more or less fair; they simply produce different spending experiences for the unlucky minority.
For context, our soft pity vs hard pity math breakdown covers how soft-pity ramps change these calculations in games that use them, and our Blue Archive pity odds explainer and Reverse 1999 pity odds guide both show hard-pity-only systems closer in spirit to FGO’s design, though with different pull counts and rates. For the full breakdown of how pity, drop rates, and expected-value math work across the gacha genre, see our provably fair and gacha odds hub.
Myths vs Facts About FGO’s Pity System
| Myth | Fact |
|---|---|
| FGO has soft pity that raises your odds after a losing streak. | Published sources list soft pity as “none.” The 1% base rate stays flat from pull 1 through pull 329. |
| The 10-pull guarantee means you’ll get a Servant. | The guarantee only ensures a 4-star-or-higher item somewhere in the batch, which can be a Craft Essence, not necessarily a Servant. |
| Pity carries over between banners. | The 330-pull counter resets when a banner ends. Unused pity progress does not transfer to the next banner. |
| Every banner has the 330-pull spark. | Story Summon pools and some other banner types do not carry the spark system at all. |
| Sparking always costs exactly $479.94. | That figure assumes buying only the largest 167-SQ packs. Mixing smaller packs to hit 990 SQ exactly runs slightly higher, around $482.90. |
| The expected cost and the guaranteed cost are roughly the same. | They’re not close. Expected cost sits around $167-$185; the guaranteed worst case is roughly $480, nearly triple. |
Is Pulling in FGO Worth the Money?
Whether a Fate/Grand Order pull is worth the money depends entirely on risk tolerance and budget certainty. The math says the average player secures a featured SSR for somewhere between $167 and $185, a real bargain compared to the $480 guaranteed ceiling. But “average” hides a wide spread: roughly 1 in 10 players, going by the 0.7% conservative rate, will grind all the way to the 330-pull spark and pay the full guaranteed price.
Players with a fixed budget who cannot tolerate the possibility of paying $480 should treat that number, not the expected value, as their real spending ceiling before pulling at all. Players comfortable with variance can budget toward the $167-$185 expected-value range and accept that some runs will cost less and some will run long. The absence of soft pity is what makes this decision higher-stakes than in most competing gacha games: there’s no rate ramp softening the landing on a bad streak, only the hard 330-pull floor at the very end.
Frequently Asked Questions
What is FGO’s pity system called?
It’s officially the Rate-Up SSR Pity System, commonly shortened to “the spark” by players, activating after 330 pulls on eligible limited banners.
How many pulls does it take to guarantee an SSR in FGO?
330 pulls guarantees the featured SSR on eligible limited banners through the spark system. That’s a hard ceiling, not an average; most players land the unit well before reaching it.
Does FGO have soft pity?
No. Published pity data lists FGO’s soft pity as “none.” The 1% base SSR rate is flat from the first pull to the 329th.
How much does it cost to guarantee an SSR Servant in FGO?
Reaching the 330-pull spark requires 990 Saint Quartz, which costs roughly $479.94 if bought as six of the $79.99 (167 SQ) packs, the most efficient pack size available.
What’s the expected cost to get a featured SSR in FGO?
Based on the published 0.7%-0.8% featured-SSR rate, the expected pull count is roughly 116-129 pulls, costing an estimated $167-$185 at the best available Saint Quartz pack rate.
Does the 10-pull in FGO guarantee a Servant?
No. A 10x Saint Quartz summon guarantees at least one 4-star-or-higher item in the batch, but that item can be a Craft Essence rather than a Servant.
Does FGO pity carry over between banners?
No. The 330-pull spark counter resets when a banner’s run ends, and progress does not transfer to the next banner’s pity count.
Is FGO’s pity system better or worse than games with soft pity?
Neither, structurally. FGO’s flat-rate design means the average cost is lower than in many soft-pity games, but the variance is wider: a small share of players will pay close to the full $480 guaranteed price, since there’s no rate ramp to soften a losing streak before hard pity.
