Ruota 1, 10
Pick a number between 1 and 10. SpinyWheel's 1–10 Wheel holds all ten whole numbers and gives each one a flat 10 percent chance, which is more than can be said for the human version of the same request. Teachers, gamers, and tiebreakers spin it.
Why does everyone pick 7?
Ask a room to name a number from 1 to 10 and 7 comes back far more often than 10 percent of the time. Informal surveys of the question have landed on it repeatedly, and the usual explanation is that 7 feels the least chosen, which is exactly why it gets chosen.
The reasoning behind it is worth watching. People skip 1 and 10 as too obvious, skip 5 as the boring middle, and avoid even numbers because they feel less arbitrary. What is left is 3 and 7, and 7 wins. Every one of those moves is a preference, which means a human "random" number is not random at all. SpinyWheel's 1–10 Wheel has no such instinct, so 7 lands 10 percent of the time and so does 10.
What are the odds on a 1–10 wheel?
Every number on SpinyWheel's 1–10 Wheel holds a 1 in 10 chance and occupies a 36 degree slice. Those odds do not shift with history, so a number that just landed is exactly as likely as one absent for fifty spins.
What grows with more spins is coverage, not fairness:
| Spins | Chance a given number has appeared |
|---|---|
| 1 | 10% |
| 3 | 27.1% |
| 7 | 52.2% |
| 10 | 65.1% |
| 22 | 90.2% |
Ten spins is not enough to see all ten numbers. It takes about 29 on average, and the last two hold out longest. Anyone who expects a full sweep in ten is applying deck-of-cards logic to a wheel that keeps every number in play every time.
The wheel and the ten sided die
A ten sided die produces the same flat 10 percent, so the math is identical, but the physical die carries a quirk: most d10s are numbered 0 through 9, with the 0 face read as 10 by convention. That trips people up in games where 0 and 10 mean different things.
A wheel avoids the translation because the labels say what they mean. If you actually want zero as its own outcome rather than a stand-in, the 0, 10 Ruota dei numeri definitiva holds eleven numbers at 9.1 percent each. For larger draws the 100 Numero drops each number to 1 percent, and the Sì o no covers the times a number was never the question.
Drawing several numbers without repeats
Delete each result before the next spin and ten draws produce all ten numbers in exactly ten spins. Leave the list alone and the same ten spins will typically miss three or four numbers entirely while repeating others.
Which behavior you want depends on the job. A tiebreaker wants independent spins, since each round should start fresh. Assigning ten people to ten slots wants removal, because a repeat there is not a fun coincidence, it is two people holding the same slot. The how-to guide covers building the list, and the Consigli goes into running a draw people will accept.
FAQ
Ogni giro è indipendente, quindi tutti e dieci i numeri valgono ogni volta il 10%, indipendentemente da ciò che è accaduto prima. Due giri corrispondenti di fila si verificano circa una volta ogni 10 coppie, e un numero nominato che lo fa avviene una volta ogni 100. Grappoli come questo sono il normale risultato di giri indipendenti, e la loro completa assenza sarebbe il risultato sospetto.
Perché le persone filtrano prima di rispondere. Le estremità sembrano ovvie, la parte centrale sembra pigra e anche i numeri sembrano troppo ordinati, il che lascia 7 come il numero che sembra più arbitrario. Tutti coloro che ragionano in questo modo arrivano allo stesso punto, quindi le risposte casuali si raggruppano. Una ruota salta il ragionamento e atterra dove atterra.
Rimuovi ciascun risultato dall'elenco prima del giro successivo, che li darà tutti e dieci in esattamente dieci giri senza duplicati. Se non vengono toccati, dieci giri di solito lasciano tre o quattro numeri invisibili. La copertura completa senza rimozione richiede in media circa 29 giri, circa tre volte la lunghezza dell'elenco.
SÌ. Modifica l'elenco dei partecipanti e seguono le quote: venti numeri danno ciascuno il 5%, undici danno ciascuno il 9,1%, cinque danno ciascuno il 20%. La rotazione, il puntatore e la lettura del risultato funzionano allo stesso modo con qualsiasi lunghezza dell'elenco, quindi cambia solo l'aritmetica sullo schermo.
Spin it, read the number, and resist the urge to say you were thinking of 7.