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Universal Tower Defense X: Trait Reroll Calculator

277 pity system probability calculator. See your exact chances of rolling an S-rank trait based on current pity count.

calculatorGuideLast updated: May 22, 2026
277 RollsPity Cap
~0.36%S-Rank Rate
Roll 277Guaranteed At
Push/WaitDecision

Quick Summary

UTDX gems and dupes are hard to recover — the Trait Reroll Calculator budgets your spend before you lock resources into the wrong unit. 277 pity system probability calculator. See your exact chances of rolling an S-rank trait based on current pity count. Unit stats, trait multipliers, and gacha rates sourced from in-game data and developer patch notes. Anime tower defense with deep unit progression, trait/relic systems, and strategic wave defense.

Last verifiedReview pending
Patch/data passNot versioned yet
Accuracy levelIn-game verified

Verification Notes

Inputs, formulas, and recommendations should be rechecked when the Roblox experience receives a gameplay update.

Pity System: Guaranteed S-rank trait at 277 rolls. Base S-rank rate: 0.3% per roll. P(at least 1) = 1 - (1 - 0.003)N
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13.95%
Chance in 50 rolls
277 rolls
Guaranteed At
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333 rolls
Expected (no pity)
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0%
Pity Progress

Cumulative Probability Curve

0 rolls139 rolls277 (pity)

📋 Quick Reference

50 rolls
13.95%
100 rolls
25.95%
150 rolls
36.28%
200 rolls
45.17%
250 rolls
52.82%
277 rolls
100.00%

🔄 How Trait Rerolling Works in UTDX

Every unit in Universal Tower Defense X (UTDX) can equip a trait that modifies its combat stats. Traits come in three tiers: B-rank (common, minor stat bonuses), A-rank (uncommon, moderate multipliers), and S-rank (rare, game-changing abilities). When you perform a trait reroll, the game randomly assigns a new trait to that unit — replacing the old one.

S-Rank Traits (0.3% base rate)
  • Ruler — Massive single-unit damage multiplier. Best for carry strategies.
  • Eternal — Stacking damage that scales over long fights. Ideal for endurance.
  • Fission — AoE damage amplifier. Niche but powerful in splash comps.
277 Pity System

UTDX guarantees an S-rank trait after exactly 277 unsuccessful rerolls. Each roll that doesn't yield an S-rank increments your pity counter by 1. At 277, the next roll is a guaranteed S-rank. Pity resets to 0 upon receiving any S-rank trait. You can use Trait Reroll Tickets (obtained from events and battle pass) or spend Gems (100 gems per roll) to reroll.

💡 Tip: Each roll is independent at 0.3%. The pity is a safety net, not a rate increase. Statistically, ~57% of players will get an S-rank within 277 rolls from base rate alone.

💡 Trait Reroll Strategy Tips

Save Rerolls for Mythic Units

Trait reroll tickets are scarce. Only spend them on Mythic-tier units you plan to use long-term. A B-rank carry with an S-rank trait still underperforms a Mythic unit with an A-rank trait.

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Ruler = Single Carry, Eternal = Scaling

If you run one hyper-carry, Ruler is your best S-rank. If your comp relies on drawn-out fights with multiple DPS units, Eternal eventually out-damages Ruler after wave 15+.

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Don't Waste S-Rank on Farm Units

Farm units like gold generators or XP boosters don't benefit from damage traits. An S-rank trait on a farm unit is essentially deleted value. Always equip damage traits on your actual DPS.

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Track Your Pity Count In-Game

UTDX displays your current pity counter in the trait reroll menu. Check it before spending gems — if you're above 200 pity, it may be worth pushing to 277 for the guaranteed S-rank.

Understanding the UTDX Trait Reroll System

The UTDX trait reroll system is one of the most important progression mechanics in Universal Tower Defense X. Every unit can hold one trait, and the difference between a B-rank trait and an S-rank trait like Ruler or Eternal can mean the difference between clearing and failing endgame content. The 277 pity system ensures that every player eventually receives an S-rank trait — but understanding the underlying probability helps you plan your resources. With a base S-rank trait drop rate of 0.3% per roll, you have roughly a 14% chance of getting one within 50 rolls, a 26% chance within 100 rolls, and a guaranteed drop at 277. This calculator helps you visualize those odds and make informed decisions about when to spend your trait reroll tickets or gems.

Choosing the best trait for your unit depends on your team composition and game mode. For most players pushing tower defense stages, Ruler is the consensus pick — it provides a flat damage multiplier that synergizes with every DPS unit in the game. Eternal is the mathematically superior choice for infinite-scaling modes where fights last beyond wave 20, as its stacking mechanic compounds over time. Fission sees niche use in AoE-heavy compositions. Regardless of which S-rank trait you target, always prioritize rolling on your strongest Mythic carry first. The trait reroll pity counter persists across sessions, so there's no rush — but there's also no reason to waste rolls on units you'll eventually bench. Use this UTDX trait reroll calculator to track your pity progress and calculate exactly how many rolls you need for a comfortable chance at an S-rank trait.

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❓ Frequently Asked Questions

At exactly 277 trait rerolls without receiving an S-rank trait, the pity system guarantees you an S-rank trait on your next roll. This is a hard pity — it cannot be bypassed. Once you receive any S-rank trait (whether from luck or pity), the counter resets back to 0. This means the absolute worst-case scenario is 277 rolls to get an S-rank trait like Ruler, Eternal, or Fission.

❓ Frequently Asked Questions

Common questions about Universal Tower Defense X Trait Reroll Calculator

What does the Trait Reroll Calculator help with in UTDX?

UTDX gems and dupes are hard to recover — the Trait Reroll Calculator budgets your spend before you lock resources into the wrong unit.

When should I open the Trait Reroll Calculator?

Open this calculator when UTDX stage clears, gem spend, trait rolls, or unit investment order is unclear before you commit dupes or evolutions.

Are the Trait Reroll Calculator numbers exact in-game values?

Outputs are planning estimates for payback and order-of-operations decisions. Re-run the calculator after balance patches or when your bottleneck changes.

What should I do after using the Trait Reroll Calculator?

Commit to one team, trait, or summon decision from the Trait Reroll Calculator, clear your next UTDX stage or banner goal, then revisit if your roster or gems changed.

Methodology & Sources

Unit stats, trait multipliers, and gacha rates sourced from in-game data and developer patch notes. DPS calculations verified against in-game damage testing.

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