Universal Tower Defense X: Summon Simulator
Gacha probability simulator. Monte Carlo simulation with real rates (Mythic 0.5%, Legendary 2%). See expected pulls per gem budget.
Quick Summary
Run thousands of simulated summons using UTDX's real gacha rates (Mythic 0.5%, Legendary 2%, Epic 10%). Input your gem budget and target unit to see your statistical chances of pulling it. The Monte Carlo engine runs 10,000 simulations per click for statistically significant results. Know exactly how many gems to save before pulling on a banner — avoid the pain of going all-in on bad odds.
💎 Gem Efficiency Table
| Gems | Pulls | Exp. Mythic | Exp. Legendary | P(≥1 Mythic) |
|---|---|---|---|---|
| 500 | 10 | 0.05 | 0.2 | 4.9% |
| 1,000 | 20 | 0.10 | 0.4 | 9.5% |
| 2,000 | 40 | 0.20 | 0.8 | 18.2% |
| 3,000 | 60 | 0.30 | 1.2 | 26.0% |
| 5,000 | 100 | 0.50 | 2.0 | 39.4% |
| 10,000 | 200 | 1.00 | 4.0 | 63.3% |
🎰 How Summoning Works in UTDX
The summon system in Universal Tower Defense X (UTDX) uses a weighted gacha model where every pull costs 50 gems and produces one unit. The rarity is determined by a single random roll against four probability tiers — Mythic (0.5%), Legendary (2%), Epic (16%), and Rare (81.5%). These rates are independent per pull with no memory between summons.
Each single pull costs 50 gems. A 10x multi-pull costs 500 gems with no discount. Gems are earned through gameplay, daily logins, codes, and event rewards. The average free-to-play player earns ~300-500 gems per day through normal progression.
UTDX rotates featured banners roughly every 1-2 weeks. Featured banners split the 0.5% Mythic rate — typically 0.25% for the featured unit and 0.25% for the general pool. Limited banners during major updates may feature exclusive units unavailable on the standard banner.
When a unit is "featured," it receives a rate-up on its dedicated banner. If you pull a Mythic on a featured banner, there's roughly a 50/50 chance it's the featured unit. This is the most efficient way to target a specific Mythic unit.
UTDX uses a soft pity for unit summons (separate from the trait reroll pity). After approximately 150 pulls without a Mythic, the base Mythic rate begins to increase by ~0.5% per pull. This soft pity resets when you obtain any Mythic-tier unit.
The probability of pulling at least one Mythic in n pulls follows the formula: P = 1 − (1 − 0.005)^n. At 200 pulls (10,000 gems), you reach ~63.3% probability. Use the simulator above to see how your gem budget translates into expected outcomes.
🧠 Summoning Strategy Tips
Multi-pulls and singles use identical rates — there is no hidden bonus for 10x pulls. The only benefit is speed: multi-pulls save time when burning a large gem stack. Use singles when you're close to a gem budget and want to stop the moment you hit a target unit.
Featured banners give you the best shot at a specific Mythic unit with the rate-up split. Pulling on the standard banner means any Mythic you get is random. Discipline pays off — save 15,000+ gems and wait for a banner featuring a top-tier unit from the tier list.
New players should focus on building a solid Legendary core team first. Legendary units at high upgrade levels outperform an un-upgraded Mythic. Invest gems into pulling until you have 2-3 strong Legendaries, then start saving for a Mythic that fills a specific role gap.
UTDX regularly releases promo codes worth 100-500 free gems each. Codes expire quickly, so check the codes page daily. Over a month, code gems alone can fund 20-40 extra pulls — that's a meaningful boost to your Mythic probability.
Understanding UTDX Summon Rates & Gem Economy
The UTDX summon rates follow a standard gacha distribution where Mythic-tier units sit at a 0.5% drop rate per pull, making them statistically rare enough that most players need 200+ pulls to expect their first one. This gacha calculator simulates those exact probabilities so you can plan your gem spending before committing resources. Whether you're wondering "how many gems for a Mythic in UTDX" or trying to budget for an upcoming featured banner, the simulator gives you a realistic preview of outcomes based on pure math. At 50 gems per pull, reaching the soft pity threshold of 150 pulls requires 7,500 gems — roughly 2-3 weeks of diligent free-to-play gem farming including dailies, event rewards, and code redemptions.
Smart summoning strategy separates top UTDX players from those stuck in mid-game. The gem economy rewards patience: featured banners with rate-up events are the single most efficient use of saved gems, since they concentrate your Mythic probability onto a specific meta-relevant unit. Free-to-play players should aim to stockpile at least 10,000 gems before pulling on any banner, giving them a 63% shot at the featured Mythic. Combining this calculator with the trait reroll calculator and tier list lets you make fully informed decisions — knowing not just whether you'll pull a Mythic, but whether that Mythic is worth chasing and what traits to reroll for once you get it.
🔗 Related UTDX Tools
Calculate gem costs and probability for perfect trait rolls on your units.
Redeem free gems, boosts, and exclusive rewards with the latest codes.
Build optimized team compositions with synergy bonuses and role coverage.
See which Mythic and Legendary units dominate the current meta.
❓ Summon Simulator FAQ
📊 Data Source & Methodology
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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