Advanced probability
Conditional chance, probability trees, total probability, the binomial distribution, expected value and geometric probability
The Advanced probability unit belongs to the Statistics and probability section of Math Mental and has 18 lessons: conditional chance, probability trees, total probability, the binomial distribution, expected value and geometric probability.
Lessons in this unit
- Conditional in a table
- With replacement
- Without replacement
- One branch of the tree
- Adding two branches
- Dependent events
- Two urns
- Two machines
- Back to the cause
- Exactly k heads
- No six at all
- At least one six
- Expected gain
- Fair price of the game
- Square target
- Strip in the square
- Probability practice
- Trophy: advanced probability
How to work through this unit
Follow the lesson order
The unit has 18 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Advanced probability unit cover?
Advanced probability belongs to the Statistics and probability section and has 18 lessons: conditional chance, probability trees, total probability, the binomial distribution, expected value and geometric probability. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Advanced probability?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Advanced probability take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Advanced probability exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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