probability and statistics
Independent events — AMC & AIME Problems
25 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Independent events — a probability and statistics concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Probability of Independent Events, Difference Between Dependent and Independent Events.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 10
AMC 12
More probability and statistics concepts
- Basic probability
- Bayes’ Theorem
- Binomial probability
- Complementary probability
- Conditional probability
- Data and graph interpretation
- Dice (probability)
- Expected value
- Geometric distribution
- Geometric probability
- Harmonic mean
- Mean
- Median (data)
- Mode
- Random walk
- Range
- Recursive probability
- Sampling with replacement
- Sampling without replacement
- Weighted mean