Index

The Birthday Paradox

The Birthday Paradox
The Birthday Paradox · Open board

The room fills one person at a time, each new arrival only able to dodge the birthdays already taken, until the odds flip. This lesson works out exactly where they flip, and why the number is nothing like the one your gut reaches for.

Before you start. All the arithmetic here is counting: how many people, how many pairs they make between them, nothing harder than that. Every number below is worked out in one plain sentence the moment it shows up, so nothing arrives bare.

Continue reading with a plan

The first three lessons of every track are free. This lesson is included with a plan, which unlocks every lesson, board, video, lab and paper for one price.

View plans →Already a member? Sign in

Lab

Twenty-three people and 365 days. Why is a shared birthday a coin flip, and what does that cost you in bits?

Open A short link id, push How many of them up past a million, and watch How many you may mint.

Open The birthday collision →

Review Mind Blown →

Saved in this browser, and to your account when you sign in.