Probability theory

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

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/probability-theory

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 formal foundation?Axiomatized by Andrey Kolmogorov in 1933, based on measure theory
2. What is the fundamental theorems?Includes the Law of Large Numbers and the Central Limit Theorem
3. What is probability?Probability is a number between 0 and 1 that tells how likely an event is to happen. 0 means impossible, 1 means certain.
4. Why do we use probability in everyday life?Probability helps us guess things like weather, games, and how likely a coin will land heads, so we can make good choices.

Random Variable: A variable whose value is a numerical outcome of a random phenomenon.
Probability Distribution: A function that describes the likelihood of obtaining the possible values of a random variable.
Stochastic Process: A mathematical object that describes a sequence of random variables evolving over time.