Drop Rate Formula:
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The drop rate formula calculates the probability of receiving at least one item drop after a certain number of attempts. It accounts for the cumulative probability across multiple attempts.
The calculator uses the probability formula:
Where:
Explanation: The formula calculates the complement probability (chance of NOT getting the drop) raised to the power of attempts, then subtracts from 1 to get the chance of getting it at least once.
Details: Understanding drop probabilities helps players estimate how many attempts they might need for rare items, plan grinding sessions, and set realistic expectations for boss fights or skilling activities.
Tips: Enter the drop rate as a decimal (e.g., 0.0001 for 1/10,000) and the number of attempts. The calculator will show your cumulative chance of receiving at least one drop.
Q1: Does killing more monsters increase my chance per kill?
A: No, each kill is independent. However, more attempts increase your overall probability of getting at least one drop.
Q2: What's the 50% probability point?
A: The "dry calculator" point is when \( n = \log(0.5)/\log(1-p) \). For a 1/100 drop, this is ~69 kills.
Q3: How accurate is this for RuneScape?
A: This models the official drop mechanics perfectly, assuming fixed rates and independent events.
Q4: What about multiple drops?
A: The formula shows chance for ≥1 drop. For exactly one drop, use \( n \times p \times (1-p)^{n-1} \).
Q5: Does luck affect drop rates?
A: In-game luck modifiers (like ring of wealth) may affect certain drops, but the base formula remains valid.