Random Number Between 1 and 3

Generate a random whole number from 1 to 3, for picking one of three options.

Press Generate for a random number between 1 and 3. Both ends are included and each of the 3 numbers has exactly a 1 in 3 chance.

Odds for numbers between 1 and 3

Possible numbers3
Chance of any one number1 in 3 (33.3%)
Chance of repeating the last number1 in 3
Chance a given number appears at least once in 3 picks70.4%
Average result over many picks2
Even / odd numbers1 even, 2 odd

The last-but-one row surprises many people: even with 3 picks, a particular number has a 29.6% chance of never coming up, because picks are independent.

What a 1–3 range is used for

A random number between 1 and 3 is handy for picking one of three options.

Other ranges

1–21–41–51–61–81–101–121–201–501–521–1001–10000–9

Frequently asked questions

What are the odds of getting a specific number between 1 and 3?

Each number has a 1 in 3 chance (33.3%) on every pick.

Can the same number come up twice in a row?

Yes, if repeats are allowed: the chance of repeating the previous number is 1 in 3. Tick "No repeats" when picking several numbers to get all-different results.

Are 1 and 3 included?

Yes. Both ends are included, so there are 3 possible numbers.

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