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UUID v4 Collision Probability Calculator

Estimate the probability of a birthday-paradox collision among randomly generated UUID v4 values.

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Technology & Computing

Collision probability

0%

Random bits used

122

UUIDs generated

1,00,00,00,000

UUIDs needed for 50% chance

27,14,92,26,69,39,54,45,000

UUID v4 has 122 random bits (6 bits are fixed for version/variant), giving a space of about 5.3×10^36 values.

Formula and working

P(collision) ≈ 1 − e^(−n²÷(2×2^122)), where UUID v4 has 122 random bits

  1. 1

    Collect the inputs

    Number of UUIDs generated = 1,000,000,000

  2. 2

    Apply the formula

    P(collision) ≈ 1 − e^(−n²÷(2×2^122)), where UUID v4 has 122 random bits

  3. 3

    Result

    Collision probability = 0

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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