What is the LoL Gacha Calculator?
This free calculator helps you find the cheapest way to buy RP for League of Legends and TFT gacha systems like the Sanctum. Instead of guessing which RP packages to buy, the calculator analyzes thousands of possible combinations to find the strategy that saves you the most money.
The algorithm accounts for drop probability, pity mechanics, and bonus RP from larger packages to calculate both the optimal strategy (best on average) and the cheapest path to pity (worst-case scenario).
Enter your current RP, pulls until pity, and drop chance below to get your personalized optimal buying strategy.
Strategy Comparison
Optimal Strategy
Avg Cost
Most Bonus RP for Pity
Avg Cost
Probability Distribution
This graph shows cumulative probability of getting the item vs money spent for each strategy
Strategy Comparison
| Strategy | Steps | Avg Cost | Avg. RP Spend | Cost at Pity | RP Bought at Pity | Avg. RP Wasted | RP Leftover at Pity | Difference from Best |
|---|
Optimal Strategy minimizes avg cost (best on average). Most Bonus RP minimizes cost at pity (cheapest path to pity).
Frequently Asked Questions
What is pity in League of Legends gacha?
Pity is a guaranteed drop mechanic in LoL's Sanctum gacha system. After a certain number of pulls without getting the featured item, you're guaranteed to receive it. This calculator helps you plan your RP purchases to reach pity efficiently.
Why does the optimal strategy sometimes use smaller packages?
While larger RP packages have better value per dollar, the optimal strategy considers probability. If you might get the item early, buying smaller packages first means you spend less money on average. The calculator weighs the chance of early drops against the bonus RP from larger packages.
What's the difference between Optimal Strategy and Most Bonus RP?
Optimal Strategy minimizes your expected (average) cost by accounting for the probability of getting the item before pity. Most Bonus RP minimizes the worst-case cost assuming you need all pulls to reach pity, maximizing bonus RP from larger packages.
Does this calculator work for TFT gacha?
Yes! This calculator works for any Riot Games gacha system that uses RP, including Teamfight Tactics. Simply enter the cost per pull, drop chance, and pulls until pity for your specific TFT gacha event.