The Psychology of the Gacha in 2026

HoYoverse has dominated the gaming industry with titles like Genshin Impact and Honkai: Star Rail. At the heart of their massive financial success is the gacha system—a psychological rollercoaster that tempts players to spend real money for a chance to pull their favorite characters. In 2026, with power creep introducing highly desirable new units every six weeks, the temptation to “roll” has never been higher.

However, blind pulling is the fastest way to drain your bank account. HoYoverse games are heavily governed by hidden mathematics. While they appear to be games of pure chance, they are actually games of calculated probability. The games employ a “pity system” to ensure that players eventually get what they want, preventing endless losing streaks. But understanding where you are in that pity system is incredibly difficult without tracking it manually.

Most players guess their pity. They think, “I haven’t gotten a 5-star in a while, so I’m probably close.” This leads to impulsive spending—buying a $100 top-up pack just to do “one more 10-pull,” only to realize they were 30 pulls away from a guarantee. This is why a Genshin / Honkai Pity Calculator is a mandatory tool for any serious player. It removes the emotion and replaces it with hard data.

What is a Genshin / Honkai Pity Calculator?

A Genshin / Honkai Pity Calculator is a specialized gaming utility designed to track and predict gacha outcomes. Unlike a generic probability calculator, this tool is programmed with the specific drop rates, soft pity thresholds, and 50/50 mechanics published in HoYoverse’s official drop rate disclosures.

The tool requires three basic inputs to function:

1. Current Pity Count: The exact number of wishes/warps you have made since your last 5-star character.
2. 50/50 Guarantee Status: Whether your last 5-star was the featured character (meaning you are back on a 50/50) or a standard character (meaning your next 5-star is guaranteed to be the featured one).
3. Target Game: Whether you are playing Genshin Impact (90 hard pity) or Honkai: Star Rail (90 hard pity).

Once these are entered, the calculator outputs your current percentage chance of pulling a 5-star on your very next wish, and calculates the maximum number of Intertwined Fates/Acquaint Fates needed to reach hard pity.

The Core Math: Base Rates and Soft Pity

To trust the calculator, you must understand the math it is running. HoYoverse publicly states that the base probability of pulling a 5-star character is 0.6%. If this were a flat rate, you would expect to get a 5-star roughly every 166 pulls. However, this is not how the system works.

Starting at pull number 74, the game’s code begins to artificially increase the 0.6% base rate. This is known as Soft Pity. The probability spikes dramatically with every single pull. By pull 75, your chance might be 5%. By pull 80, it might be 20%. By pull 85, it is nearly 50%.

Because of Soft Pity, the “average” 5-star is pulled at roughly pull 62-65, not pull 90. The Toolriz calculator incorporates this soft pity curve to tell you exactly what your odds are at your current pull count, rather than relying on the misleading 0.6% base rate.

Step-by-Step: How to Use the Toolriz Calculator

Using the Toolriz calculator takes less than two minutes and can save you hundreds of dollars. Follow these steps before pulling on a new banner.

Decoding the 50/50 System

The most frustrating mechanic in HoYoverse games is the 50/50. When you finally hit a 5-star on a limited character banner, there is a 50% chance it is the featured character, and a 50% chance it is one of the standard 5-star characters.

If you Win the 50/50: You get the featured character. Your pity resets to 0. Your next 5-star will again be subject to a 50/50.

If you Lose the 50/50: You get a standard character (e.g., Jean, Yanqing). Your pity resets to 0. However, your next 5-star pull is 100% guaranteed to be the featured character.

This guarantee carries over between banners. If you lose your 50/50 on Version 5.1, and wait until Version 5.2 to pull again, your first 5-star in 5.2 will be the featured character. This is why tracking your guarantee status in the calculator is just as important as tracking your pity count. A player with 0 pity but a guarantee needs at most 90 pulls (14,400 Primogems) to get the character. A player with 0 pity and on a 50/50 needs at most 180 pulls (28,800 Primogems) to guarantee the character.

Capturing Radiance Explained: Does It Reset Pity?

Since Version 5.0, Genshin Impact’s Character Event Wish banners include an additional mechanic called Capturing Radiance, and it’s one of the most searched (and misunderstood) parts of the pity system. Capturing Radiance sits on top of the 50/50 and guarantee system — it does not replace either one.

Here’s how it works: every time you lose a 50/50 in a row, your chance of “converting” that loss into an immediate win of the featured character increases. By the time you’ve lost three or four 50/50s in a row, Capturing Radiance is effectively guaranteed to trigger on your next loss, which caps how bad your real-world luck can get.

Hard Pity Limits: Genshin vs. Honkai

While the systems are nearly identical, there are slight variations in the mechanics between Genshin Impact and Honkai: Star Rail that the calculator accounts for.

As you can see, Honkai: Star Rail’s soft pity actually begins one pull earlier (73) than Genshin’s (74). This is a minor difference, but it makes the Toolriz calculator slightly more aggressive for HSR players.

The Weapon Banner (Epitomized Path)

The Weapon Banner (or Light Cone banner in HSR) operates on a completely different, much harsher pity system. In 2024/2026, HoYoverse updated the weapon banner to use a “point” system (Epitomized Path / Starlight).

• Hard Pity: 80 pulls.
• Soft Pity: Begins around pull 63.
• Base 5/5 Split: When you pull a 5-star weapon, there is a 75% chance it is one of the two featured weapons, and a 25% chance it is a standard weapon.
• The Guarantee: You can select one of the two featured weapons. If you pull a 5-star and it is NOT your selected weapon, you gain 1 “Fate Point.” If you have 1 or 2 Fate Points, your next 5-star pull is guaranteed to be your selected weapon.

Because Fate Points do not carry over between weapon banners, you can lose everything. To guarantee a specific weapon from 0 pity and 0 fate points, you need a maximum of 240 pulls (38,400 Primogems). The calculator is absolutely essential here to ensure you have enough currency before you start pulling on the weapon banner, or you risk wasting thousands of gems with nothing to show for it.

USD Cost: Direct Top-Up vs. Welkin Moon

Knowing your pull count is only half the picture — most players never finish the math in dollars, which is exactly where a pity calculator becomes a budgeting tool instead of just a probability tool. In the USA, Genesis Crystals (Genshin) and Oneiric Shards (HSR) are sold in bundles, and the pricing is heavily obfuscated through bonus structures.

Direct Top-Up: The Expensive Way

The standard bulk rate without first-time purchase bonuses is $99.99 for 6,480 crystals. Since one pull costs 160 crystals, that works out to roughly $2.43 USD per pull. If you need 180 pulls to guarantee a character on a 50/50, direct top-up costs you around $437 USD — before any state sales tax on the transaction.

Welkin Moon / Express Supply Pass: The Smart Way

If you plan to spend real money, the only financially sound option is the monthly subscription — Blessing of the Welkin Moon in Genshin, or the Express Supply Pass in Honkai: Star Rail. For $4.99 USD, you get 300 crystals immediately plus 90 crystals a day for 30 days (3,000 crystals total), bringing your cost down to roughly $0.26 USD per pull — nearly ten times cheaper than direct top-up.

The catch with Welkin Moon is time — you need roughly 5 months of daily logins to accumulate 180 pulls’ worth of currency this way, so it rewards planning far more than impulse spending. Don’t forget state sales tax either: many US states (Texas at 8.25%, California at 7.25%, New York at 8.875%) add tax on top of in-app purchases, so a $100 top-up can quietly become $108+ before you’ve spent a single Primogem.

How to Interpret Your Calculator Results

Once you run your numbers through the Toolriz calculator, you will be faced with data. Here is how to act on the results.

Scenario A: High Pity, On a 50/50

You are at 80 pity, but you are on a 50/50. The calculator shows a high chance of pulling a 5-star soon. However, you only have 20 wishes saved. Action: Do not pull. If you hit the 5-star at pull 82, there is a 50% chance you lose the 50/50, resetting your pity to 0 with nothing you wanted. Wait until you have 90 wishes so you can guarantee the featured character.

Scenario B: Low Pity, Guaranteed

You are at 10 pity, and you have a guarantee from losing your last 50/50. The calculator shows you need 80 more pulls to reach hard pity. You have 90 wishes saved. Action: You are safe to pull. Even if you hit soft pity early or late, you have enough currency to guarantee the character. For more advanced saving tactics, check out our gacha strategy blog.

Scenario C: The “One More Pull” Urge

You are at 70 pity with 0 wishes saved. The calculator shows soft pity is starting. You are tempted to buy a $15 monthly pass and do single pulls. Action: Stop. Single pulls during soft pity without enough currency to reach hard pity is pure gambling. You might get lucky, or you might hit 89 pity and go broke. Save the money for next banner.

The 2026 Primogem Saving Strategy

The math is clear: to guarantee a character from 0 pity on a 50/50, you need 28,800 Primogems (or 180 Intertwined Fates). In 2026, a new limited character is released every 42 days (one patch cycle). Can a Free-to-Play (FTP) player earn 28,800 Primogems in 42 days?

Average FTP income per patch (including dailies, events, abyss, and new exploration) is roughly 10,000 to 12,000 Primogems. This means an FTP player cannot guarantee every single new character. They can only guarantee roughly one character every three patches.

1. Pick Your Targets: Look at the 2026 roadmap. Decide which 2-3 characters you absolutely must have over a 6-month period.
2. Use the Calculator: Track your pity and guarantee status before their banner goes live.
3. Do Not Pull Off-Banner: If you are saving, do not spend fates on standard banners or weapon banners.
4. Skip the 50/50s: If you are at 0 pity and on a 50/50, and you don’t have 28,800 Primogems, do not pull. Wait until you have enough to bypass the 50/50 risk.
5. Win the Mental Game: Accept that you will miss some characters. Use the calculator to remind yourself that pulling without a guarantee is statistically a losing battle.