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Discrete Uniform Distribution Explorer


Modify Parameters and See Results

Equal probability for finite outcomes

Parameters

Minimum Value (a)
1

The smallest possible value in the distribution

Maximum Value (b)
6

The largest possible value in the distribution

Number of Values (n)
6

Total count of distinct values (n = b - a + 1)

Statistics

Expected Value
3.5000
Variance
2.9167
Std Deviation
1.7078
Mode
All values

Probability Calculator

Key Properties

Real-World Applications

  • Rolling a fair die (outcomes 1-6 with equal probability)
  • Drawing a random card from a deck (each card equally likely)
  • Selecting a random number from a finite set
  • Lottery number generation where each number is equally likely
  • Random assignment of participants to groups in experiments







Understanding the Distribution


Key Parameters


Applications