Banner Pull Calculator

A banner pull calculator is an essential planning tool for gacha game players who want to budget their premium currency before committing to a limited-time banner. Whether you are farming primogems in Genshin Impact, crystals in Honkai: Star Rail, or any other form of in-game soft currency, this calculator tells you exactly how many pulls your resources can buy, what your statistical odds of success look like, and how much more currency you need to close the gap.

Gacha banners operate on a system of layered probabilities. There is a base rate that controls how often you receive a high-rarity item, and a secondary featured rate that determines what fraction of those high-rarity items belong to the character or weapon currently on the banner. Understanding these two numbers — and how they interact with the pity system — is the difference between smart resource management and blowing your entire stock for a disappointing result.

This banner pull calculator captures all three dimensions: your total pull count from currency and free tickets, the expected number of featured copies based on real probability math, and the pity projection that carries over to your next banner. Use it before every limited event to make confident, informed decisions about whether to pull now or save.

The calculator ingests seven inputs and converts them into a complete statistical picture of your banner situation. Here is a step-by-step breakdown of every formula used under the hood.

Step 1 — Total Available Pulls

First, the calculator converts your premium currency into pull count and adds any free tickets or fates you already hold:

Total Pulls = floor(currency ÷ pullCost) + freeTickets

For example, 10 000 currency at 160 per pull gives 62 currency pulls. Adding 10 free tickets brings the total to 72 available pulls.

Step 2 — Pulls Needed Per Copy

Using your 5-star rate, the calculator finds the average number of pulls required to land a single 5-star:

pullsNeededPerCopy = ceil(100 ÷ fiveStarRate%)

At the default 0.6% base rate: ceil(100 ÷ 0.6) = 167 pulls per 5-star on average.

Step 3 — Average Pulls for One Featured Copy

Not every 5-star is the featured character. The featured rate (often 50%) determines what fraction of 5-stars are actually the banner character:

averagePullsForFeatured = pullsNeededPerCopy ÷ (featuredRate ÷ 100)

At 50% featured rate: 167 ÷ 0.5 = 334 pulls per featured copy on average.

Step 4 — Expected Values

The expected number of 5-stars and featured copies follows directly from total pull count and the two rates:

expected5Stars = totalPulls × (fiveStarRate ÷ 100)
expectedFeatured = expected5Stars × (featuredRate ÷ 100)

Step 5 — Success Chance

The success chance estimate compares your actual pull count against the average pulls needed for your target copies:

• If you have enough: successChance = 50 + ((totalPulls − avgPullsNeeded) ÷ avgPullsNeeded) × 30
• If you are short: successChance = 50 − (pullDeficit ÷ avgPullsNeeded) × 40

The result is clamped between 5% and 95% to avoid misleading absolutes.

Step 6 — Pity Projection

Leftover pulls that do not complete a full pity cycle carry over to the next banner:

leftoverPulls = totalPulls mod pityCount

This tells you exactly how close you are to a guaranteed pity at the end of your current pull session.

The pity system is a mercy mechanic built into virtually every modern gacha game. It guarantees that a player cannot go indefinitely without receiving a high-rarity item. After a defined number of unsuccessful pulls — the hard pity threshold — the game automatically awards a 5-star (or equivalent top-tier rarity). Most popular titles set this threshold between 80 and 90 pulls.

Some games also implement soft pity, a zone typically starting around pull 74–76 where the per-pull 5-star probability begins climbing sharply from the base rate toward 100%. This means that in practice, players rarely reach the full hard pity number; most 5-stars land somewhere in the soft pity range.

The pity counter usually resets to zero after any 5-star is obtained, regardless of whether that 5-star was the featured character. This is an important nuance: if the 50/50 coin flip lands on the wrong character (i.e., you receive a standard-pool 5-star instead of the banner character), your pity counter resets but you are granted a guarantee — the next 5-star will be the featured character. This mechanic is often called a guarantee carry.

This calculator's pity projection tells you how many leftover pulls remain at the end of your session, which is directly useful for planning the next banner. If you end a banner with 65 pulls of pity progress on a 90-pull pity system, you only need 25 more pulls to guarantee your next 5-star.

Tracking pity across banners is one of the highest-value habits a gacha player can develop. It transforms what feels like pure luck into a manageable resource that can be budgeted, saved, and strategically deployed.

Most limited gacha banners use a 50/50 system for 5-star drops: each time you receive a 5-star item, there is a 50% chance it is the featured character and a 50% chance it is a standard-pool character. The featured rate input in this calculator allows you to model any split — some games use 75/25, others use 56/44 — making the tool applicable across different gacha titles.

The math compounds quickly. At the standard 0.6% base rate and 50% featured rate, the effective rate of receiving the featured character on any single pull is only 0.6% × 50% = 0.3%. To get one copy on average, you need approximately 334 pulls. For a fully-upgraded copy in games that require six extra duplicates (constellation 6 in Genshin Impact, eidolon 6 in Honkai: Star Rail), that scales to roughly 2,338 pulls — a massive investment.

This is why banner pull calculators are so valuable: they make the true cost visible. A player who just wants a single copy of a new character and has 15 000 primogems (≈ 93 pulls) can instantly see they are sitting at roughly a 25% success chance on a standard 50/50 banner. That same player with a guaranteed carry (won the 50/50 last time) has effectively doubled their featured rate to 100%, dramatically improving their odds.

Use the featured rate input to model your carry status: set it to 100% if you have a guarantee, 50% if you do not, or any other value matching the specific banner you are targeting. This single input can shift your success chance estimate by 20–30 percentage points and should always be calibrated to your actual in-game state.

Effective pull budgeting is a long-term discipline, not a last-minute decision. The banner pull calculator is most powerful when used as part of a systematic saving and planning process rather than an impulsive check right before a banner drops.

The Hard Save Strategy

The most conservative approach is to refuse to pull on any banner until you have accumulated enough currency for the worst-case scenario: full hard pity twice (to account for a potential 50/50 loss) plus one additional set for the guarantee. For a 90-pull hard pity and 160-currency pull cost, that means saving roughly 160 × 180 = 28,800 currency before pulling. While slow, this strategy virtually guarantees success.

The Soft-Save Strategy

A more practical middle ground is to save until your success chance, as shown by this calculator, crosses a threshold you are comfortable with — commonly 70–80%. This balances forward progress with reasonable caution.

Daily and Weekly Currency Farming

Many gacha games offer predictable currency income from daily missions, weekly bosses, events, and login bonuses. Estimating your income rate between now and a banner's end date helps you determine whether pulling immediately or waiting for more currency is the smarter move. Calculate the number of days remaining, multiply by your daily income, and add that to your current currency before running the pull calculator.

The calculator outputs several interconnected figures. Knowing what each means in context helps you make a better decision faster.

Total Available Pulls is your combined purchasing power expressed in pull count, combining your currency and free tickets. This is the single most important number because every other result flows from it.

Expected Featured is the statistical expectation — the average number of featured copies you would receive if you repeated this exact pull session many thousands of times. It is not a guarantee for any single session, but it is the correct anchor for decision-making under uncertainty. An expected value below 1.0 means you are more likely than not to miss the featured character on this budget alone.

Guaranteed (Worst Case) shows how many featured copies are mathematically certain regardless of luck, derived from how many full pity cycles fit within your pull count divided by 2 (accounting for the worst-case 50/50 losses). This is the floor — your absolute minimum outcome.

Success Chance is the calculator's composite estimate of whether your pull count is sufficient for your target copies. Values above 50% mean you have more than average pulls for the job; values below 50% mean you are working with below-average resources for the target.

Currency Deficit shows how much more premium currency you would need to accumulate to reach the average pull count for your goal. If this is zero, you are already statistically well-positioned. A non-zero deficit gives you a concrete savings target.

Leftover Pity is perhaps the most underused output. This tells you how many pulls of pity progress carry into your next banner, giving you a head start on the next featured character you want to pursue.