Calculate expected attempts for successful enchantment. Enter success chance to find expected tries, cost, and probability of success by attempt N.
Enchanting, enhancing, or fortifying gear is a staple of RPGs and MMOs — but the success rates can be punishingly low. This calculator helps you understand the probabilities and plan accordingly.
Given a success chance per attempt, it calculates the expected number of attempts needed, the probability of succeeding within N attempts, and the estimated cost based on materials per attempt. Whether you're enchanting in Black Desert Online, upgrading in MapleStory, or enhancing in Lost Ark, these numbers help set realistic expectations.
Understanding enchantment probability prevents frustration and poor decision-making. Knowing that a 10% success rate requires an average of 10 attempts — and that there's still a 35% chance of not succeeding after 10 tries — keeps you grounded.
Gamers, streamers, and content creators benefit from precise enchantment probability data when optimizing their setup, planning purchases, or maximizing performance and value. Bookmark this tool and return whenever your hardware, games, or streaming requirements change.
Players routinely underestimate how many attempts low-probability enchantments require. A 15% chance feels like it should succeed in a few tries, but the expected attempts is 6-7, and bad luck streaks are common. This calculator replaces gut feelings with actual math. Instant results let you compare different configurations and scenarios quickly, helping you get the best performance and value from your gaming budget.
Expected Attempts = 1 / (Success Chance / 100) P(success within N attempts) = 1 − (1 − Success Chance / 100) ^ N Expected Cost = Expected Attempts × Cost Per Attempt
Result: ~6.67 expected attempts
With 15% success chance: Expected = 1 / 0.15 ≈ 6.67 attempts. Probability within 10 attempts: 1 − 0.85^10 = 80.3%. Expected cost: 6.67 × 500 = 3,333.
Enchantment success follows a geometric distribution. The expected number of trials is 1/p where p is the probability. But the distribution has a long tail — while the average might be 10 attempts, some players will need 30 or more.
Always prepare for the worst reasonable case, not the expected case. If expected attempts is 10, budget for 20-25 attempts worth of materials. Running out of materials mid-enhancement is frustrating and can lock you into a worse position.
Modern games increasingly implement pity mechanics that guarantee success after a maximum number of failures. These systems cap the expected cost and prevent extreme outlier experiences, making enhancement more predictable and less punishing.
Expected attempts is the statistical average number of tries needed for one success. With a 10% chance, you need 10 attempts on average. However, 37% of players will still need more than 10 attempts due to the distribution of random outcomes.
That's unlucky but not unusual. The probability of failing 20 consecutive times at 10% is 0.9^20 = 12.2%. About 1 in 8 players will experience this, so it's far from impossible.
In pure random systems, no — each attempt is independent. However, many games implement pity systems or failstacks that genuinely increase your success rate after consecutive failures.
Failstack systems increase the success chance with each consecutive failure, guaranteeing eventual success. If your game has failstacks, the effective expected attempts is lower than the base formula suggests.
Compare the expected cost to enchant (attempts × cost per attempt) with the market price of the already-enchanted item. Include the value of your time. If buying is similar cost or cheaper, buy instead.
The chance of succeeding on the first try equals the base success rate. For a 15% enchantment, you have exactly a 15% chance of one-tapping it.