TFT Rolldown Calculator
Optimize your Teamfight Tactics strategy with precise champion odds.
TFT Rolldown Calculator
Use this TFT Rolldown Calculator to estimate your chances of finding specific champions in Teamfight Tactics. Input your current game state to get insights into your gold efficiency and probability of hitting key units.
Your player level directly impacts the odds of finding champions of different costs.
Select the gold cost of the champion you are looking for.
Enter the total gold you intend to spend on re-rolls. Each re-roll costs 2 gold.
How many copies of this champion do you currently have? (Max 9 for 3-star).
Estimate how many other players are also looking for this specific champion.
The total number of copies you aim to find (e.g., 9 for a 3-star unit).
TFT Rolldown Results
Rolldown Probability vs. Rolls
Caption: This chart visualizes how the probability of hitting at least one copy and the expected number of copies increase with more rolls.
TFT Shop Odds Table
| Player Level | 1-Cost (%) | 2-Cost (%) | 3-Cost (%) | 4-Cost (%) | 5-Cost (%) |
|---|---|---|---|---|---|
| 3 | 65% | 30% | 5% | 0% | 0% |
| 4 | 50% | 35% | 15% | 0% | 0% |
| 5 | 40% | 35% | 20% | 5% | 0% |
| 6 | 30% | 35% | 30% | 5% | 0% |
| 7 | 19% | 30% | 35% | 15% | 1% |
| 8 | 15% | 20% | 35% | 25% | 5% |
| 9 | 10% | 15% | 30% | 30% | 15% |
| 10 | 5% | 10% | 20% | 40% | 25% |
Caption: Standard TFT shop odds, showing the percentage chance for each champion cost at different player levels.
What is a TFT Rolldown Calculator?
A TFT Rolldown Calculator is an essential tool for players of Teamfight Tactics (TFT) looking to optimize their in-game economy and decision-making. At its core, this calculator helps you understand the probabilities associated with re-rolling your shop to find specific champions. In TFT, players spend gold to refresh their shop offerings, hoping to find the units they need to complete their compositions or upgrade existing ones to higher star levels. The odds of finding a particular champion depend on several factors, including your current player level, the champion’s cost (tier), and the number of copies remaining in the shared champion pool.
Who Should Use a TFT Rolldown Calculator?
- Competitive Players: Those aiming for high ranks will use a TFT Rolldown Calculator to make informed decisions about when and how much gold to spend, minimizing risk and maximizing their chances of hitting key power spikes.
- Strategy Enthusiasts: Players who enjoy theorycrafting and understanding the underlying mechanics of the game will find the calculator invaluable for exploring different scenarios.
- New Players: It can help new players grasp the complex probability system of TFT, teaching them about shop odds and champion pool management.
- Content Creators: Streamers and YouTubers can use the TFT Rolldown Calculator to demonstrate optimal strategies or analyze in-game situations for their audience.
Common Misconceptions about TFT Rolldowns
- “I’m due for a hit”: The game’s probabilities are independent for each roll. Past rolls do not influence future rolls. Each shop refresh is a new, isolated event.
- “My shop is rigged”: While it might feel that way sometimes, the shop odds are transparent and based on your level and the champion pool. What often feels like “rigging” is simply bad luck within the established probabilities or a misunderstanding of how many copies are left in the pool.
- “More gold guarantees a champion”: While more gold (and thus more rolls) increases your *probability* of finding a champion, it never guarantees it. There’s always a chance, however small, that you won’t hit your desired unit.
- “Contesting doesn’t matter much”: Contesting a champion with multiple other players significantly reduces the number of available copies in the shared pool, drastically lowering your odds. The TFT Rolldown Calculator highlights this impact.
TFT Rolldown Calculator Formula and Mathematical Explanation
The calculations within a TFT Rolldown Calculator are based on principles of probability, specifically dealing with sampling without replacement (hypergeometric distribution) and binomial probability for multiple trials. However, for a real-time web calculator, some approximations are often used for performance and simplicity.
Step-by-Step Derivation
- Determine Base Shop Odds: The first step is to identify the base percentage chance for a champion of a specific cost (e.g., 4-cost) to appear in any given shop slot at your current player level. This is a fixed table provided by Riot Games (see the table above).
- Calculate Effective Champion Pool: The total number of copies of a champion in the game’s shared pool is fixed (e.g., 29 for 1-cost, 12 for 4-cost). From this, we subtract the copies you already own and an estimated number of copies held by other players contesting that champion. This gives us the ‘available copies’ in the pool.
- Probability Per Shop Slot: The chance of finding your desired champion in a single shop slot is calculated by multiplying the base shop odds (from step 1) by the ratio of ‘available copies’ to the ‘total champion pool size’. This gives us
P(unit in slot) = (Available Copies / Total Pool Size) * Shop Odds %. - Probability Per Shop Roll (5 Slots): Since each shop roll presents 5 champions, the probability of finding at least one copy in a single shop is
1 - (1 - P(unit in slot))^5. This assumes each slot is an independent draw, which is a common simplification for calculators. - Probability Over Multiple Rolls: If you plan to make ‘N’ rolls (Gold to Spend / 2), the probability of finding at least one copy over all these rolls is
1 - (1 - P(hit one shop))^N. - Expected Copies: The expected number of copies you will find is simply
N * P(hit one shop). This is an average over many trials. - Probability of Hitting at Least X Copies: For this, a binomial probability approximation is used. It sums the probabilities of hitting exactly X, X+1, …, up to N copies. The formula for hitting exactly ‘k’ copies in ‘N’ rolls is
C(N, k) * (P(hit one shop))^k * (1 - P(hit one shop))^(N-k), whereC(N, k)is the binomial coefficient (N choose k). This is then summed for all ‘k’ from your desired number up to ‘N’.
Variables Table
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Player Level | Your current in-game level | Level | 3-10 |
| Champion Cost | The gold cost of the desired champion | Gold Tier | 1-5 |
| Gold to Spend | Total gold allocated for re-rolling | Gold | 20-100+ |
| Copies Owned | Number of copies of the champion you currently possess | Copies | 0-9 |
| Players Contesting | Number of other players also seeking this champion | Players | 0-7 |
| Desired Copies | The target number of champion copies you wish to find | Copies | 1-9 |
| Shop Odds % | Base probability of a champion cost appearing at your level | Percentage | 0-100% |
| Total Pool Size | Fixed total number of copies of a champion in the game | Copies | 10-29 |
Practical Examples (Real-World Use Cases)
Example 1: Hitting a Key 4-Cost at Level 7
You are at Level 7 with 50 gold, looking for a specific 4-cost champion (e.g., Akali, Ezreal). You own 0 copies, and you estimate 1 other player is also contesting this unit.
- Player Level: 7
- Champion Cost: 4-Cost
- Gold to Spend: 50
- Copies Owned: 0
- Players Contesting: 1
- Desired Copies: 1
Calculator Output (Approximate):
- Probability of hitting at least one copy: ~65%
- Expected Copies Found: ~1.2 copies
- Average Rolls to Hit One Copy: ~15 rolls
- Probability of hitting at least 1 copy: ~65%
Interpretation: With 50 gold, you have a decent chance (around 65%) to find at least one copy of your desired 4-cost. You can expect to find just over one copy on average. This suggests that a 50-gold rolldown at Level 7 for a 4-cost is a reasonable gamble if that unit is crucial for your board.
Example 2: Three-Starring a 3-Cost at Level 8
You are at Level 8 with 80 gold, trying to 3-star a 3-cost champion. You already have 6 copies (need 3 more), and no one else seems to be playing it.
- Player Level: 8
- Champion Cost: 3-Cost
- Gold to Spend: 80
- Copies Owned: 6
- Players Contesting: 0
- Desired Copies: 9 (to 3-star)
Calculator Output (Approximate):
- Probability of hitting at least one copy: ~99%
- Expected Copies Found: ~4.5 copies
- Average Rolls to Hit One Copy: ~8 rolls
- Probability of hitting at least 3 copies: ~70%
Interpretation: With 80 gold, you have a very high chance of finding at least one more copy. The calculator suggests you can expect to find around 4-5 copies, making it quite likely to hit your remaining 3 copies for the 3-star. This indicates a strong position to commit to the 3-star unit, especially with no one contesting.
How to Use This TFT Rolldown Calculator
Using the TFT Rolldown Calculator is straightforward and designed to give you quick, actionable insights for your Teamfight Tactics games.
Step-by-Step Instructions
- Select Your Player Level: Choose your current in-game level from the dropdown menu. This is crucial as shop odds change significantly with level.
- Select Desired Champion’s Cost: Pick the gold cost (tier) of the champion you are trying to find (e.g., 1-cost, 4-cost).
- Enter Gold to Spend: Input the amount of gold you are willing to spend on re-rolls. Remember, each re-roll costs 2 gold.
- Enter Copies Owned: Specify how many copies of this particular champion you already have on your board or bench.
- Estimate Players Contesting: Based on scouting other players’ boards, estimate how many opponents are also collecting copies of your desired champion. This impacts the available pool.
- Enter Desired Copies to Hit: Input the total number of copies you aim to find (e.g., 1 for a first copy, 3 for a 2-star, 9 for a 3-star).
- View Results: The calculator will automatically update the results in real-time as you adjust the inputs.
How to Read the Results
- Probability of hitting at least one copy: This is your primary highlighted result. It tells you the chance (as a percentage) that you will find at least one copy of your desired champion within the specified number of rolls.
- Expected Copies Found: This indicates the average number of copies you would expect to find if you performed this rolldown many times. It’s a useful metric for understanding the overall value of your gold spend.
- Average Rolls to Hit One Copy: This shows how many rolls, on average, it would take to find a single copy of your champion.
- Probability of Hitting at Least [Desired Copies] Copies: This provides the chance of reaching your specific target (e.g., 3-starring a unit) given your inputs.
Decision-Making Guidance
Use the results from the TFT Rolldown Calculator to inform your in-game decisions:
- High Probability (>70%): If the probability of hitting your key unit is high, it’s generally a good time to commit gold.
- Moderate Probability (40-70%): This is often a calculated risk. Consider your board strength, health, and alternative lines.
- Low Probability (<40%): Re-rolling might be too risky. Consider saving gold, leveling up, or pivoting to a different strategy.
- Expected Copies: If the expected copies are significantly less than what you need, it might be better to reconsider your plan.
- Contesting Impact: Notice how increasing “Players Contesting” drastically reduces your odds. This emphasizes the importance of scouting.
Key Factors That Affect TFT Rolldown Calculator Results
Understanding the variables that influence the TFT Rolldown Calculator is crucial for mastering your Teamfight Tactics gameplay. Each factor plays a significant role in determining your success rate.
-
Your Player Level
Your player level is arguably the most critical factor. As you level up, the shop odds shift, increasing your chances of finding higher-cost champions (4-cost, 5-cost) while decreasing the odds for lower-cost units. A TFT Rolldown Calculator accurately reflects these changing probabilities, guiding you on the optimal level to roll for specific units. For instance, rolling for a 4-cost at Level 6 is far less efficient than at Level 7 or 8.
-
Desired Champion’s Cost (Tier)
The cost of the champion you’re seeking directly correlates with its rarity and the number of copies in the total pool. 1-cost champions are abundant, while 5-cost champions are very rare. The TFT Rolldown Calculator accounts for these base rarities, showing you that hitting a 3-star 5-cost is exponentially harder than a 3-star 1-cost, even with optimal conditions.
-
Gold to Spend (Number of Rolls)
More gold means more re-rolls, which in turn increases your cumulative probability of finding desired units. However, there are diminishing returns. The TFT Rolldown Calculator helps you visualize this, showing that the first 20-30 gold spent often yields the most significant increase in probability, with subsequent gold offering smaller gains. Efficient gold management is key to a successful rolldown strategy.
-
Copies of Champion Already Owned
Every copy of a champion you own (on your board or bench) reduces the number of available copies in the shared pool. This is a positive factor for you, as it means fewer copies are “out there” for others to take, and you’re closer to your goal. The TFT Rolldown Calculator adjusts the effective pool size based on your owned copies, making your probabilities more accurate.
-
Number of Other Players Contesting This Champion
This is a crucial but often underestimated factor. When other players are also collecting copies of your desired champion, they effectively “remove” those copies from the shared pool, making it harder for you to find them. The TFT Rolldown Calculator incorporates this by reducing the available champion pool, demonstrating how contesting can severely impact your odds and why scouting is so important in TFT.
-
Total Champion Pool Size
Each champion cost has a fixed total number of copies in the game (e.g., 29 for 1-cost, 10 for 5-cost). This fundamental game mechanic dictates the maximum number of copies available. The TFT Rolldown Calculator uses these fixed pool sizes as the baseline for all probability calculations, ensuring the results are grounded in the game’s design.
Frequently Asked Questions (FAQ) about the TFT Rolldown Calculator
Q1: How accurate is this TFT Rolldown Calculator?
A: This TFT Rolldown Calculator provides highly accurate estimations based on the official shop odds and champion pool sizes. It uses established probability models, though some simplifications (like assuming independent shop slots) are made for real-time calculation. For most in-game scenarios, it offers excellent guidance.
Q2: Does the calculator account for “luck”?
A: No, the TFT Rolldown Calculator deals with probabilities and expected outcomes over many trials. It cannot predict individual luck in a single game. It tells you your *chances*, not a guaranteed outcome. A 70% chance means you’ll hit 7 out of 10 times on average, but you could still miss 10 times in a row.
Q3: What if I hit multiple copies in one roll?
A: The calculator’s underlying probability for a single shop roll accounts for the chance of hitting at least one copy. When calculating expected copies, it averages out the potential for multiple hits. For the “Probability of hitting at least X copies,” it uses a binomial approximation which considers the likelihood of multiple successes (hits) over multiple rolls.
Q4: How does “contesting” affect my odds specifically?
A: When another player has copies of your desired champion, those copies are removed from the shared pool. This directly reduces the “Available Copies” for everyone else, including you. The TFT Rolldown Calculator simulates this by reducing the effective pool size, showing a significant drop in your probabilities.
Q5: Should I always roll down if the probability is high?
A: Not necessarily. While a high probability is good, always consider your current health, gold economy, and the strength of your overall board. Sometimes, saving gold to level up or pivoting to a different composition might be a safer or more optimal play, even with good odds for a specific unit. The TFT Rolldown Calculator is a tool to inform, not dictate, your strategy.
Q6: Can I use this calculator for specific traits or synergies?
A: This TFT Rolldown Calculator focuses on individual champion probabilities. While finding a specific champion helps complete traits, it doesn’t directly calculate trait completion odds. You would use it to assess the likelihood of finding the *champions* needed for those traits.
Q7: What are the limitations of this TFT Rolldown Calculator?
A: The main limitations include: 1) It uses approximations for complex multi-hit, multi-roll scenarios (like the binomial approximation for “at least X copies”). 2) It cannot account for future shop changes (e.g., if another player sells units). 3) It doesn’t factor in augments or specific game mechanics that might alter shop odds (unless explicitly added). 4) It assumes you roll all your gold at once, not incrementally.
Q8: Why is my player level so important for the TFT Rolldown Calculator?
A: Your player level dictates the percentage chance for each champion cost to appear in your shop. For example, at Level 7, you have a 15% chance for a 4-cost unit, but at Level 9, that jumps to 30%. This fundamental shift in shop odds makes your level the primary driver of your rolldown success for specific champion tiers.
Related Tools and Internal Resources
Enhance your Teamfight Tactics strategy further with these related tools and guides:
- TFT Comp Builder: Plan your ideal team compositions and discover powerful synergies.
- TFT Item Cheat Sheet: Quickly reference optimal item combinations and their effects.
- TFT Economy Guide: Master gold management, interest breakpoints, and leveling strategies.
- TFT Leveling Guide: Learn the best times to level up and how it impacts your shop odds.
- TFT Champion Tier List: Stay updated on the strongest champions in the current meta.
- TFT Augments Guide: Understand the best augments for various situations and compositions.