Dice (probability) — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Dice (probability) — 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).
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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 8
1992 AMC 8 Problem 23 • 1995 AMC 8 Problem 20 • 1997 AMC 8 Problem 20 • 2001 AMC 8 Problem 18 • 2011 AMC 8 Problem 18 • 2019 AMC 8 Problem 18 • 2024 AMC 8 Problem 5
AMC 10
2004 AMC 10B Problem 11 • 2005 AMC 10B Problem 9 • 2005 AMC 10B Problem 12 • 2006 AMC 10A Problem 13 • 2006 AMC 10B Problem 21 • 2007 AMC 10B Problem 22 • 2008 AMC 10B Problem 16 • 2008 AMC 10B Problem 20 • 2009 AMC 10A Problem 22 • 2011 AMC 10A Problem 14 • 2012 AMC 10A Problem 9 • 2014 AMC 10A Problem 17 • 2014 AMC 10B Problem 16 • 2018 AMC 10A Problem 11 • 2018 AMC 10B Problem 9 • 2020 AMC 10A Problem 25 • 2021 AMC 10B Spring Problem 18 • 2021 AMC 10A Fall Problem 9 • 2021 AMC 10B Fall Problem 14 • 2021 AMC 10B Fall Problem 20 • 2022 AMC 10B Problem 12 • 2023 AMC 10A Problem 7
AMC 12
1974 AMC 12 Problem 24 • 1977 AMC 12 Problem 17 • 1981 AMC 12 Problem 26 • 2002 AMC 12B Problem 16 • 2005 AMC 12A Problem 14 • 2006 AMC 12B Problem 17 • 2011 AMC 12A Problem 10 • 2012 AMC 12B Problem 13 • 2020 AMC 12A Problem 23 • 2021 AMC 12B Spring Problem 19 • 2021 AMC 12B Fall Problem 11 • 2022 AMC 12B Problem 12 • 2023 AMC 12A Problem 5