Hi, I'm
Jacob Trieu
I visualize mathematical concepts.
I'm a developer who loves making complex mathematical ideas accessible through interactive visualizations. Currently exploring probability theory and statistical paradoxes.
Check out my workFeatured Visualization
The Birthday Paradox
How many people need to be in a room before there's a 50% chance that at least two share a birthday? The answer might surprise you! Explore this counterintuitive probability phenomenon.
Interactive Calendar
Probability: 50.7%
23 people in the room • No matches yet
How it works
The probability is calculated by finding the chance that all birthdays are different, then subtracting from 1. For n people:
P(match) = 1 - (365! / (365^n × (365-n)!))
Simulation Controls
Quick Stats
23 people: 50.7%
30 people: 70.6%
50 people: 97.0%
70 people: 99.9%
Why?
One might think 183 people (half of 365) is needed for a 50% chance. But we're looking for any match among all possible pairs, not a specific date! Find out more!