Discrete uniform distribution

High school (ages 12+)
Mathematics & Numbers

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Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/discrete-uniform-distribution

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the expected value (mean)?E[X] = (a + b) / 2
2. What is the variance?Var(X) = ((b - a + 1)^2 - 1) / 12
3. Why do we use a discrete uniform distribution in games?It keeps games fair by giving every outcome the same probability, so no one has an advantage.
4. How does a computer create a uniform random number?Computers use algorithms called pseudo‑random number generators that spread numbers evenly across a range, making each number appear equally likely.

Probability Mass Function (PMF): A function that gives the probability that a discrete random variable is exactly equal to some value.
Pseudo-Random Number Generator (PRNG): An algorithm that produces sequences of numbers that approximate the properties of random numbers.
Sample Space: The set of all possible outcomes of a random experiment or process.