Hash Collision & Birthday Paradox

Visualize probability collisions in hashing and birthday problems

Theoretical Probability of Shared Birthday
50.73%
P = 1 - (365! / (365-n)!) / 365^n where n = 23
Monte Carlo Simulation
Trials: 0
Collisions: 0
Simulated P: —
Theory P: 50.73%
At 23 people: ~50.7% chance
At 57 people: ~99% chance
People in Room (one recent collision highlighted)
No collision found in current group.