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ToA Drop Rate Formula:
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The ToA (Tomb of Amascut) drop rate formula calculates the cumulative probability of obtaining a drop after multiple attempts. It's based on probability theory and accounts for the fact that each attempt is independent.
The calculator uses the formula:
Where:
Explanation: The formula calculates the probability of getting at least one drop after k attempts, assuming each attempt is independent with probability p.
Details: Understanding cumulative drop probabilities helps players estimate how many attempts they might need to obtain a specific item, plan their gameplay time, and set realistic expectations for rare drops.
Tips: Enter the drop probability per attempt (as a decimal between 0 and 1) and the number of attempts. The calculator will show the cumulative probability of getting at least one drop after all those attempts.
Q1: Does this formula account for multiple drops?
A: No, this formula calculates the probability of getting at least one drop. It doesn't account for the possibility of getting multiple drops.
Q2: Are drop attempts truly independent?
A: In most game systems, including ToA, drop attempts are designed to be independent events, meaning the outcome of one attempt doesn't affect future attempts.
Q3: How accurate is this calculation for rare drops?
A: The formula is mathematically precise for independent events. However, extremely rare drops (very small p values) may require many attempts to reach high cumulative probabilities.
Q4: Can I use this for other games?
A: Yes, this probability formula applies to any system with independent drop chances, not just ToA.
Q5: What does a 90% cumulative probability mean?
A: It means you have a 90% chance of getting at least one drop after the specified number of attempts. Note that 10% of players still won't get the drop after that many attempts.