BCBetter Calculators

Random Number Range Calculator

Find out how many integers exist within a given range and the total count of possible values.

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Enter your values and click Calculate

How It Works

The total count of integers within the range is calculated as max โˆ’ min + 1, because both endpoints are included โ€” for example, 1 to 6 contains 6 values: 1, 2, 3, 4, 5, and 6. The spread is simply max โˆ’ min, representing the distance from one endpoint to the other. The midpoint is (min + max) / 2, which is the arithmetic center of the range; it will be a whole number only when the count is odd, and a half-integer when the count is even. The probability that a uniformly randomly chosen integer lands on any specific value is 1 รท count ร— 100. This assumes a discrete uniform distribution where every integer in the range is equally likely โ€” the assumption behind a fair dice roll, lottery draw, or random number generator with integer output.

Examples

Standard dice roll
Range 1 to 6.
Result: 6 integers, spread of 5, midpoint 3.5, each value has a 16.67% chance.
Large lottery range
Range 1 to 49.
Result: 49 integers, each with a 2.04% probability.
Percentile range
Range 1 to 100 โ€” a common scoring scale.
Result: 100 integers, each with a 1% probability, midpoint at 50.5.

Frequently Asked Questions

Are both endpoints included?
Yes. The count formula is max โˆ’ min + 1, which includes both the minimum and maximum values. For example, the range 1 to 10 contains 10 integers, not 9, because both 1 and 10 are counted.
Does this actually generate a random number?
No โ€” this calculator analyses the mathematical properties of a number range rather than generating a random value. It tells you how many integers exist, the probability of each, and the midpoint. To generate a random number within a range, use your device's built-in randomiser or a dedicated random number tool.
What does the probability output mean?
The probability shown is the likelihood of randomly selecting any single specific integer from the range, assuming every integer is equally likely. For example, in a range of 1 to 4, each value has a 25% probability of being chosen in a fair draw.

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