Probability

What the resources cover

The unit opens with mind maps that set out the basics. The mind map titled Probability defines a sure event, an elementary event and a complementary event. Another Probability mind map walks through experiments, outcomes, sample spaces and events. The Probability Theory mind map goes further, with sigma-fields, probability spaces and probability measures.

Flashcard decks stretch from Applying Probability, which uses two-way tables, to Conditional Probability Formula, Bernoulli trials and Chapter 2.2 Classical Limit Theorems. There are also notes, slide sets and flowcharts, including Counting techniques.

Where to start

1. Read a basic mind map such as Probability or Probability Concept to get the vocabulary.
2. Work through the quiz Experimental and Theoretical Probablity to check the difference between estimating and calculating.
3. Move to flashcards on counting, conditional probability and sample spaces.
4. Try the harder quizzes, such as the coin-box question in the quiz called Probability or the long Probability Theory final exam quiz.

Using quizzes and maps together

Look at a map first, then take a quiz on the same idea. When an answer is wrong, go back to the branch of the map that covers it. Flashcards are handy for formulas and definitions you want to recall quickly. Some resources are in other languages, such as Probabilidad, and some relate to named exams, including Exam P, AP Statistics, GCSE Maths and A-level Maths.

Where it sits

This unit belongs to the Probability strand of Statistics and probability. It sits alongside material on distributions and random variables that the resources touch on.

Choose one resource that matches your level, give it a go, and then build a map or deck of your own.