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Boss Pet Drop Equation:
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The Boss Pet Drop Equation calculates the cumulative probability of obtaining a boss pet in RuneScape 3 after a certain number of attempts. It's based on the principle of independent events in probability theory.
The calculator uses the probability equation:
Where:
Explanation: The equation calculates the probability of getting at least one successful drop after k independent attempts, each with probability p.
Details: Understanding drop probabilities helps players estimate the number of attempts needed for rare items, plan their gameplay time, and set realistic expectations for boss farming.
Tips: Enter the drop probability per attempt (typically a very small decimal) and the number of attempts you plan to make or have already made. Both values must be positive numbers.
Q1: What if I want to know the probability after a certain number of kills?
A: Simply enter the drop rate (p) and the number of kills (k) to get the cumulative probability of having received the pet by that point.
Q2: How accurate is this calculation for RS3 boss pets?
A: This calculation is mathematically precise for independent events with fixed probabilities, which is how most RS3 boss pet drop mechanics work.
Q3: Can I use this for other rare drops besides pets?
A: Yes, this formula works for any item with a fixed drop probability where each attempt is independent.
Q4: Why does the probability never reach exactly 1?
A: The probability approaches 1 asymptotically but never reaches it exactly, as there's always a theoretical possibility of never getting the drop, no matter how many attempts.
Q5: How should I interpret the resulting probability?
A: The result represents the likelihood that you would have received at least one pet drop after k attempts. For example, 0.75 means you have a 75% chance of having the pet by that point.