Random Number Generator from 1 to 123

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Random number between 1 and 123?

any of the 123 whole numbers from 1 to 123, each with about a 0.81% chance

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The Range 1–123 in Numbers

N = 123 − 1 + 1 = 123
P = 1 ÷ 123 ≈ 0.81%
Whole numbers in the range 123
Chance of each number 1 / 123 ≈ 0.81%
Even / odd numbers 61 / 62
Chance of an even number 61 / 123 ≈ 49.59%
Draws for a particular number to reach a 50% chance 85

With repeats allowed, each draw misses a particular number with probability 1 − 1/123, so after k draws it has appeared at least once with probability 1 − (1 − 1/123)k. That first reaches 50% at k = 85.

Related Calculations

See Also

Random Number Generator

This generator picks a random whole number between two bounds, both of them included. The number is drawn in your browser from its cryptographic random source, and every number in the range has the same chance. For example, it can help you find out random number between 1 and 123? Enter the lower bound (e.g. '1') and the upper bound (e.g. '123'), then press 'Generate'. On the result page you can draw several numbers at once, with or without repeats.
Random Number Generator
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Neighbouring Ranges

RangeWhole numbersChance of each number
1–103103≈0.97%
1–106106≈0.94%
1–108108≈0.93%
1–111111≈0.90%
1–112112≈0.89%
1–114114≈0.88%
1–120120≈0.83%
1–123123≈0.81%
1–124124≈0.81%
1–140140≈0.71%
1–146146≈0.68%
1–150150≈0.67%
1–151151≈0.66%
1–185185≈0.54%
1–2002000.5%

FAQ

Random number between 1 and 123?

It can be any of the 123 whole numbers from 1 to 123, each with about a 0.81% chance

How many numbers are there from 1 to 123?

123 whole numbers: 123 − 1 + 1 = 123, because both bounds are included. Even numbers among them: 61, odd: 62 — so an even result comes up with about a 49.59% chance.

How many draws does it take to get a particular number from 1 to 123?

With repeats allowed, a particular number has at least a 50% chance of appearing once it has been given 85 draws; after 84 draws the chance is still below 50%. Each draw is independent, so earlier misses do not make it «due».

How to pick several different numbers from 1 to 123?

Set how many numbers you need and tick «No repeats». The generator then draws without replacement, so you can get up to 123 different numbers — the whole range in random order.

See Also