Birthday Paradox Calculator

Free calculate the probability of shared birthdays in a group - a counterintuitive probability result.

Birthday Paradox Settings

Birthday Paradox Results

Enter parameters to calculate results

About the Birthday Paradox

The Paradox

  • • With 23 people: 50.7% chance
  • • With 50 people: 97% chance
  • • With 70 people: 99.9% chance
  • • Counterintuitive result

Why It Happens

  • • Many possible pairs
  • • Combinatorial explosion
  • • Not about specific dates
  • • Any shared birthday counts

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