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Birthday Paradox Calculator Blox Fruits

Birthday Paradox Formula:

\[ P(n) = 1 - \left(\frac{365!}{(365-n)! \times 365^n}\right) \]

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1. What is the Birthday Paradox?

The birthday paradox demonstrates that in a group of just 23 people, there's a 50% chance two share a birthday. This counterintuitive probability applies to any scenario with multiple possible outcomes, like rare drops in Blox Fruits.

2. How Does This Apply to Blox Fruits?

In Blox Fruits, this concept helps estimate the probability that multiple players will receive the same rare drop or item when a certain number of players are attempting to get it.

3. How the Calculator Works

The calculator uses the birthday paradox formula:

\[ P(n) = 1 - \left(\frac{d!}{(d-n)! \times d^n}\right) \]

Where:

4. Using the Calculator

Tips: Enter the number of players attempting and the number of possible unique drops (default 365 for birthday analogy). The calculator will show the probability that at least two players get the same drop.

5. Frequently Asked Questions (FAQ)

Q1: How accurate is this for Blox Fruits drops?
A: This gives a theoretical probability assuming equal drop chances. Actual game mechanics may vary.

Q2: What's a good number of players to test a rare drop?
A: For a 1/100 drop, with 12 players there's ~50% chance at least two get it same session.

Q3: Does this account for drop rate boosting?
A: No, this assumes base drop rates. Boosters would require adjusted calculations.

Q4: Can I use this for other Roblox games?
A: Yes, it works for any scenario with multiple attempts at rare items/occurrences.

Q5: Why does probability rise so quickly?
A: It's combinatorial - each new player has multiple chances to match existing drops.

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