TFT Rolldown Calculator

TFT Rolldown Optimizer

Enter your current game state to determine the optimal gold to spend on rolling for specific champions. This calculator helps you make informed decisions about when and how much to reroll to hit your power spikes efficiently.

Champion Odds per Cost at Player Level 8

Player Level	1-Cost Odds (%)	2-Cost Odds (%)	3-Cost Odds (%)	4-Cost Odds (%)	5-Cost Odds (%)
Level 1-2	100	0	0	0	0
Level 3	75	25	0	0	0
Level 4	55	30	15	0	0
Level 5	45	35	20	0	0
Level 6	25	35	30	10	0
Level 7	20	30	35	15	0
Level 8	19	30	35	15	1
Level 9+	15	25	35	20	5

The world of Teamfight Tactics (TFT) is a dynamic and often unforgiving place where strategic decision-making is paramount. Among the most crucial skills a player can develop is the understanding of when and how to spend their gold on rerolls, a process often referred to as “rolldown.” This is where the TFT Rolldown Calculator becomes an invaluable tool for players aiming to climb the ranked ladder and achieve consistent victories. By leveraging probability and game mechanics, this calculator helps you optimize your gold management to find the champions you need, precisely when you need them.

What is a TFT Rolldown Calculator?

A TFT Rolldown Calculator is a specialized tool designed to estimate the amount of gold a player should spend on rerolling the shop at a given player level and gold threshold. It takes into account the odds of finding champions of specific costs at different player levels and helps players determine the most efficient way to spend their gold to acquire the necessary copies of their target champions. This is crucial because rolling too much gold can leave you vulnerable economically, while rolling too little might mean missing out on critical upgrades needed to secure a win or avoid a losing streak.

Who should use it?
Any TFT player looking to improve their understanding of game economy and probability should use a TFT Rolldown Calculator. This includes:

• New Players: To grasp the basics of gold management and champion acquisition.
• Intermediate Players: To refine their reroll strategies and make more informed decisions during critical mid-to-late game transitions.
• High Elo Players: As a quick reference to confirm optimal rolldown points, especially in complex boards or when facing tough opponents.
• Players aiming for specific synergies or carries: To understand the gold investment required to hit those crucial 3-star units.

Common Misconceptions:

• “I can always find my champion if I just keep rolling.” This is false. TFT has inherent randomness. While you can increase your chances, there’s no guarantee. The calculator helps manage expectations and gold.
• “Rolling all my gold is always the best strategy.” Not necessarily. Maintaining gold for interest (e.g., 50 gold) is often crucial for long-term economic advantage. The calculator helps balance immediate needs with future economic growth.
• “The odds tables are absolute.” The odds provided are averages. The actual shop generated is random. The calculator provides probabilistic guidance, not a deterministic outcome.

TFT Rolldown Calculator Formula and Mathematical Explanation

The core of the TFT Rolldown Calculator relies on understanding the probability of finding a specific champion cost at a given player level and then determining how much gold to spend to achieve a target number of copies.

The process involves several steps:

1. Determine Available Pool: Each champion cost has a certain number of unique units available in the game’s general pool.
2. Calculate Odds of Finding Target Cost: The probability of a specific champion cost appearing in your shop depends on your player level. The calculator uses pre-defined odds tables for each level.
3. Calculate Rolls Needed: To find a specific number of copies of a target champion, we need to know how many rolls it statistically takes. This involves calculating the probability of *not* finding the champion in a single roll and then extrapolating.
4. Determine Gold Cost: Each roll costs 2 gold. The total gold spent is the number of rolls multiplied by 2.
5. Optimize Gold Spending: The calculator aims to find the point where spending additional gold yields diminishing returns or conflicts with the desire to maintain interest gold. It suggests spending up to a certain point, ensuring you keep your desired minimum gold.

Formula Breakdown:
Let’s consider the probability of finding at least one instance of a specific champion cost within a set number of rolls.
The probability of a champion of cost ‘C’ appearing in a shop at level ‘L’ is P(C, L).
The number of unique champions of cost ‘C’ in the game is N_C.
The total number of unique champions available at level ‘L’ is N_Total(L).
The probability of a shop NOT containing a champion of cost ‘C’ is approximately (1 – P(C, L)).
The probability of a shop NOT containing a champion of cost ‘C’ across ‘R’ rolls is (1 – P(C, L))^R.
Therefore, the probability of finding AT LEAST ONE champion of cost ‘C’ in ‘R’ rolls is:
P(Hit Target Cost in R Rolls) = 1 – (1 – P(C, L))^R

To find the *expected* number of rolls to find ‘K’ copies of a target champion, given you already have ‘A’ copies, and need ‘T’ total copies (T = K + A):
This is a complex probability problem often simplified by simulation or approximation. A common approach is to estimate based on the probability of finding the target champion in a shop. If P is the probability of finding the champion in a single shop refresh, the expected number of shops to see the champion at least once is 1/P. If each roll costs 2 gold, and you roll ‘R’ times, you see R/2 shops.
The calculator often uses a simplified heuristic: It determines the rolls needed to have a high probability (e.g., 70-90%) of finding the required number of copies.
Gold Spent = Number of Rolls * 2
The calculator suggests spending gold until a desired probability threshold is met, while ensuring Gold Spent + Gold to Keep <= Current Gold.

Variables Table:

TFT Rolldown Variables

Variable	Meaning	Unit	Typical Range
Current Gold	Total gold available at the start of the shop phase.	Gold	0 – 100+
Player Level	The current level of the player’s avatar.	Level	1 – 9
Target Champion Cost	The gold cost of the champion(s) being sought.	Cost (1-5)	1, 2, 3, 4, 5
Target Copies	The total number of copies required for the desired star level (e.g., 3 for 1-star, 6 for 2-star, 9 for 3-star).	Copies	3, 6, 9
Available Copies	Copies of the target champion already owned.	Copies	0+
Gold to Keep	Minimum gold to maintain for interest and future rounds.	Gold	0 – 50+
Optimal Gold to Roll	Maximum gold recommended to spend on rerolls in the current round.	Gold	0+
Gold Spent on Rolls	Actual gold deducted for performing rolls.	Gold	0+
Estimated Rolls	Number of shop refreshes performed.	Rolls	0+
Shops Visited	Number of shop refreshes that occurred.	Shops	0+

Practical Examples (Real-World Use Cases)

Let’s illustrate how the TFT Rolldown Calculator works with concrete scenarios.

Example 1: Hitting a 3-Cost Carry at Level 8
Imagine you’re playing a game and are Level 8 with 50 gold. You’re building around a 3-cost carry like a Katarina or a Zed, and you currently have 3 copies (one 1-star unit). You want to hit 2-stars (requiring 6 total copies), meaning you need 3 more copies. You decide you want to keep at least 20 gold for interest.

• Inputs: Current Gold: 50, Player Level: 8, Target Champion Cost: 3, Target Copies: 6, Available Copies: 3, Gold to Keep: 20
• Calculator Output:
  • Optimal Gold to Roll: 30 (50 Current Gold – 20 Gold to Keep)
  • Gold Spent on Rolls: ~24 (This might vary based on calculation model, aiming for reasonable probability within budget)
  • Estimated Rolls: ~12
  • Shops Visited: ~6
• Interpretation: The calculator suggests you can afford to spend up to 30 gold to roll for the remaining 3 copies of your 3-cost carry. It estimates that spending around 24 gold (approximately 12 rolls) gives you a good chance of finding them while maintaining your desired economic buffer. If you don’t hit after spending 30 gold, you might need to reassess your strategy or wait for the next round.

Example 2: Rolling for 4-Cost Upgrades at Level 7
You’re Level 7 with 40 gold. You’re looking for upgrades to your 4-cost carries (e.g., a Caitlyn or an Ahri) and you already have 2 copies. You need 1 more copy to hit 2-star. You want to keep 10 gold.

• Inputs: Current Gold: 40, Player Level: 7, Target Champion Cost: 4, Target Copies: 3, Available Copies: 2, Gold to Keep: 10
• Calculator Output:
  • Optimal Gold to Roll: 30 (40 Current Gold – 10 Gold to Keep)
  • Gold Spent on Rolls: ~10-16 (Depending on probability threshold and specific odds at level 7)
  • Estimated Rolls: ~5-8
  • Shops Visited: ~3-4
• Interpretation: The calculator indicates you have 30 gold available for rolling. It suggests that spending around 10-16 gold (5-8 rolls) should provide a reasonable probability of finding that last 4-cost copy needed for the 2-star upgrade. This allows you to potentially strengthen your board significantly without completely sacrificing your economy.

How to Use This TFT Rolldown Calculator

Using the TFT Rolldown Calculator is straightforward and designed to integrate seamlessly into your gameplay.

1. Input Current State: Accurately enter the values for:
   • Current Gold: Your total gold right before you start rolling.
   • Player Level: Your current player level. This is critical as it dictates the odds of finding champions.
   • Target Champion Cost: Select the cost (1, 2, 3, 4, or 5) of the champion you are primarily looking for.
   • Target Copies: Enter the total number of copies you need for your desired star level (e.g., 3 for 1-star, 6 for 2-star, 9 for 3-star).
   • Available Copies: Input how many of these champions you already have on your board or bench.
   • Gold to Keep: Specify the minimum amount of gold you wish to retain for interest or future rounds.
2. Calculate: Click the “Calculate Rolldown” button.
3. Interpret Results:
   • Primary Result (Optimal Gold to Roll): This is the maximum gold you should consider spending in this round’s rolldown. It’s calculated as Current Gold - Gold to Keep, but may be capped based on probability estimations for efficiency.
   • Gold Spent on Rolls: An estimate of how much gold will likely be spent to achieve a reasonable probability of finding your target champions.
   • Estimated Rolls: The approximate number of times you’ll need to refresh the shop.
   • Shops Visited: The number of shop refreshes that statistically occurred.
   • Formula Explanation: A brief description of the underlying logic.
4. Decision Making: Use the “Optimal Gold to Roll” figure as your spending limit. You can choose to spend less if you hit your desired units early or if you want to conserve more gold. The calculator provides guidance, but player instinct and game state awareness are still key.
5. Reset: Click “Reset” to clear all fields and start fresh.
6. Copy Results: Use “Copy Results” to copy the key figures and assumptions for quick reference or note-taking.

Key Factors That Affect TFT Rolldown Results

Several factors significantly influence the effectiveness of your rolldowns and the outcomes predicted by the TFT Rolldown Calculator:

• Player Level: This is arguably the most critical factor. Higher player levels unlock the potential to see more expensive champions and alter the odds distribution, making it easier or harder to find specific costs. The calculator heavily relies on accurate level input.
• Gold Management & Interest: The amount of gold you choose to keep directly impacts how much you can spend on rolls. Balancing immediate power spikes with the 10% interest bonus (up to 50 gold) is a fundamental economic decision in TFT. Spending too much can cripple your economy, while spending too little might cost you the game.
• Champion Pool Availability: TFT has a finite number of copies for each champion. If multiple opponents are also contesting the same champions, the pool depletes faster, making it statistically harder to find them, even with favorable odds. This calculator assumes a standard pool size.
• Target Champion Cost: Higher-cost champions are rarer and have lower odds of appearing in the shop. Rolling for a 4 or 5-cost unit requires significantly more gold and often a higher player level compared to rolling for 1 or 2-cost units.
• Number of Copies Needed: Upgrading a champion from 1-star to 2-star (requiring 3 copies total) is much easier than from 2-star to 3-star (requiring 9 copies total). The calculator factors in how many more copies you need to find.
• Game Stage & Pace: The optimal rolldown strategy changes drastically throughout the game. Early game rolldowns focus on stabilizing or finding core early units, while late-game rolldowns are often for hitting crucial 4 or 5-cost upgrades. The calculator provides a snapshot for a given round.
• Bench Space: Having sufficient bench space is crucial. If your bench is full, you can’t even place the champions you find, rendering your rolls less effective.

Frequently Asked Questions (FAQ)

Q1: How accurate are the champion odds used in this calculator?

The odds provided are based on the official or widely accepted probabilities for each player level in the current set of Teamfight Tactics. These odds can sometimes be adjusted by Riot Games through patches, so always be aware that these are estimates for the current game state.

Q2: Can I rely solely on this calculator for my rolldowns?

This calculator provides excellent probabilistic guidance, but it’s not a substitute for game sense. You should also consider factors like your board strength, opponent’s boards, remaining health, and potential future power spikes.

Q3: What does “Optimal Gold to Roll” really mean?

It represents the maximum amount of gold you should spend in the current round’s rolldown phase to maximize your chances of hitting your target champions without compromising your ability to earn interest gold in the next round. It’s calculated as Current Gold - Gold to Keep, ensuring you meet your minimum gold requirement.

Q4: Why does the “Gold Spent on Rolls” sometimes differ from “Optimal Gold to Roll”?

“Optimal Gold to Roll” is your budget. “Gold Spent on Rolls” is an estimate of how much gold you’d realistically need to spend within that budget to achieve a high probability of finding your target units. It’s often less than the maximum budget if you can hit your goal with fewer rolls.

Q5: Does the calculator account for specific champion abilities or traits?

No, this calculator focuses purely on the probability of finding champions based on cost and player level. It does not consider specific champion synergies, traits, or their individual power levels.

Q6: What if I need multiple copies of different champions?

This calculator is optimized for finding copies of a single, primary target champion or cost. For complex scenarios involving multiple different units, you’ll need to run the calculator multiple times or use your best judgment based on the overall shop value.

Q7: How does rolling affect my interest gold?

Every 10 gold you have at the end of a round generates 1 gold in interest, up to a maximum of 5 gold per round (for 50+ gold). Spending gold on rolls directly reduces the amount you have for interest, thus slowing down your economy.

Q8: When should I prioritize rolling versus saving gold?

Prioritize rolling when you are significantly weak and risk losing too much health, or when you are close to hitting a critical power spike (like a 2-star 4-cost carry) that will stabilize your board or secure a win. Save gold when your board is relatively stable, you are close to reaching the 50 gold interest breakpoint, or you are already in a strong winning position.

Related Tools and Internal Resources

• TFT Rolldown CalculatorThe tool you are currently using to optimize your gold spending on rolls.
• TFT Team Comp BuilderDiscover and plan powerful team compositions for the current set.
• TFT Item Cheat SheetA comprehensive guide to all items, their components, and effects.
• TFT Augment Tier ListRankings and explanations for the most impactful augments.
• TFT Champion Stats & AbilitiesDetailed information on every champion’s stats, abilities, and traits.
• TFT Leveling GuideUnderstand the XP requirements and benefits of each player level.