3 slips
- Input
- n = 3
- Expected output
- 4 / 6
About 66.7%.
Carregando ferramenta… / Loading tool…
secret santa names from a hat vs generator
In a paper draw with 5 people, the chance that at least one person pulls their own name is 76 in 120, or 63.3%. In big groups it levels off at 63.2%. The math explains why the hat always causes trouble.
About 66.7%.
About 63.3%.
Equal to 1 - 1/e at six places.
The two valid draws stop being equally likely.
A 1/n chance, or 20%.
Paste the names, tap Draw and send each person their link by WhatsApp or text. There is no account, email or password: each match travels inside the link itself, after the #, and whoever opens it sees only their own. It works as a free name picker for Secret Santa, Kris Kringle or Pollyanna. The draw and the links are stored only on this device so you can come back and resend.
About 63% for any group of 5 or more: 63.3% with 5 and 63.2% with 10. With 3 people it rises to 66.7%, and with 2 it is 50%.
Only if you redo it all from scratch. Patching just the person who drew themselves changes the odds of each combination, and with 3 people one draw becomes twice as likely as the other.
In the sense that every valid order has exactly the same chance and nobody sees a failed attempt. A hat can be just as fair if the group restarts from scratch at each mistake.
About 2.7 on average, since 36.8% of the orders qualify. With 5 people the average is 120 over 44, or 2.73. More than 3 tries is bad luck, but it happens.
Nothing leaves your browser. Names and the draw are stored only on this device, and each link carries the pair inside the address, with no server.