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Independent events — AMC & AIME 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Filter by difficulty

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.

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AMC 10

2005 AMC 10B Problem 9 • 2007 AMC 10A Problem 16 • 2008 AMC 10B Problem 17 • 2009 AMC 10B Problem 25 • 2012 AMC 10A Problem 20 • 2021 AMC 10A Fall Problem 9 • 2022 AMC 10B Problem 23 • 2024 AMC 10A Problem 17

AMC 12

1981 AMC 12 Problem 26 • 2011 AMC 12B Problem 9 • 2012 AMC 12A Problem 11 • 2015 AMC 12B Problem 15 • 2016 AMC 12B Problem 19 • 2017 AMC 12B Problem 17 • 2022 AMC 12B Problem 22 • 2024 AMC 12B Problem 25

AIME

1991 AIME Problem 10 • 2005 AIME I Problem 9 • 2010 AIME I Problem 4 • 2014 AIME I Problem 2 • 2014 AIME I Problem 11 • 2017 AIME II Problem 2 • 2022 AIME II Problem 2 • 2023 AIME II Problem 6 • 2026 AIME I Problem 9

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