Basic probability — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Basic 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).
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.
AMC 8
1985 AMC 8 Problem 22 • 1987 AMC 8 Problem 25 • 1989 AMC 8 Problem 25 • 1990 AMC 8 Problem 14 • 1994 AMC 8 Problem 22 • 1997 AMC 8 Problem 9 • 1998 AMC 8 Problem 19 • 2000 AMC 8 Problem 21 • 2002 AMC 8 Problem 12 • 2003 AMC 8 Problem 12 • 2004 AMC 8 Problem 21 • 2006 AMC 8 Problem 17 • 2007 AMC 8 Problem 21 • 2007 AMC 8 Problem 24 • 2008 AMC 8 Problem 19 • 2008 AMC 8 Problem 24 • 2009 AMC 8 Problem 10 • 2009 AMC 8 Problem 12 • 2009 AMC 8 Problem 13 • 2011 AMC 8 Problem 12 • 2013 AMC 8 Problem 8 • 2013 AMC 8 Problem 14 • 2014 AMC 8 Problem 12 • 2015 AMC 8 Problem 11 • 2016 AMC 8 Problem 13 • 2016 AMC 8 Problem 21 • 2017 AMC 8 Problem 10 • 2017 AMC 8 Problem 20 • 2018 AMC 8 Problem 11 • 2019 AMC 8 Problem 6 • 2020 AMC 8 Problem 13 • 2022 AMC 8 Problem 12 • 2023 AMC 8 Problem 23 • 2024 AMC 8 Problem 25 • 2026 AMC 8 Problem 21
AMC 10
2001 AMC 10 Problem 23 • 2002 AMC 10A Problem 24 • 2003 AMC 10A Problem 8 • 2003 AMC 10A Problem 15 • 2003 AMC 10A Problem 20 • 2003 AMC 10B Problem 21 • 2004 AMC 10A Problem 5 • 2004 AMC 10B Problem 23 • 2005 AMC 10A Problem 9 • 2005 AMC 10B Problem 15 • 2005 AMC 10B Problem 21 • 2006 AMC 10A Problem 25 • 2006 AMC 10B Problem 17 • 2006 AMC 10B Problem 21 • 2007 AMC 10A Problem 16 • 2007 AMC 10B Problem 19 • 2008 AMC 10A Problem 22 • 2008 AMC 10B Problem 22 • 2009 AMC 10A Problem 22 • 2009 AMC 10B Problem 25 • 2010 AMC 10A Problem 18 • 2010 AMC 10A Problem 23 • 2010 AMC 10B Problem 18 • 2010 AMC 10B Problem 21 • 2012 AMC 10A Problem 20 • 2013 AMC 10B Problem 12 • 2015 AMC 10A Problem 22 • 2015 AMC 10B Problem 11 • 2015 AMC 10B Problem 16 • 2016 AMC 10A Problem 12 • 2016 AMC 10A Problem 17 • 2016 AMC 10B Problem 12 • 2017 AMC 10B Problem 14 • 2017 AMC 10B Problem 20 • 2018 AMC 10A Problem 19 • 2018 AMC 10B Problem 6 • 2019 AMC 10A Problem 20 • 2019 AMC 10B Problem 21 • 2020 AMC 10A Problem 15 • 2020 AMC 10B Problem 11 • 2021 AMC 10B Spring Problem 18 • 2021 AMC 10B Spring Problem 22 • 2021 AMC 10A Fall Problem 13 • 2021 AMC 10A Fall Problem 21 • 2023 AMC 10A Problem 14 • 2023 AMC 10A Problem 25 • 2023 AMC 10B Problem 21 • 2024 AMC 10A Problem 24 • 2025 AMC 10A Problem 14 • 2025 AMC 10B Problem 11 • 2025 AMC 10B Problem 14
AMC 12
1970 AMC 12 Problem 31 • 1971 AMC 12 Problem 23 • 1973 AMC 12 Problem 23 • 1975 AMC 12 Problem 18 • 1976 AMC 12 Problem 8 • 1977 AMC 12 Problem 17 • 1978 AMC 12 Problem 19 • 1982 AMC 12 Problem 25 • 1985 AMC 12 Problem 6 • 1985 AMC 12 Problem 24 • 1999 AMC 12 Problem 24 • 2000 AMC 12 Problem 23 • 2001 AMC 12 Problem 11 • 2002 AMC 12A Problem 16 • 2003 AMC 12A Problem 8 • 2004 AMC 12B Problem 4 • 2004 AMC 12B Problem 20 • 2005 AMC 12A Problem 23 • 2005 AMC 12B Problem 11 • 2005 AMC 12B Problem 25 • 2006 AMC 12A Problem 20 • 2006 AMC 12B Problem 17 • 2007 AMC 12A Problem 12 • 2009 AMC 12B Problem 17 • 2010 AMC 12A Problem 16 • 2010 AMC 12A Problem 19 • 2010 AMC 12B Problem 11 • 2010 AMC 12B Problem 16 • 2011 AMC 12A Problem 14 • 2011 AMC 12B Problem 25 • 2012 AMC 12A Problem 11 • 2012 AMC 12A Problem 15 • 2012 AMC 12B Problem 13 • 2013 AMC 12A Problem 22 • 2015 AMC 12A Problem 9 • 2015 AMC 12A Problem 17 • 2016 AMC 12A Problem 13 • 2017 AMC 12B Problem 17 • 2017 AMC 12B Problem 22 • 2019 AMC 12A Problem 16 • 2019 AMC 12B Problem 13 • 2020 AMC 12B Problem 16 • 2021 AMC 12A Spring Problem 6 • 2021 AMC 12B Spring Problem 23 • 2021 AMC 12A Fall Problem 18 • 2023 AMC 12A Problem 21 • 2023 AMC 12B Problem 19 • 2024 AMC 12A Problem 16 • 2024 AMC 12B Problem 17 • 2025 AMC 12A Problem 6 • 2025 AMC 12A Problem 13 • 2025 AMC 12B Problem 11
AIME
1984 AIME Problem 11 • 1985 AIME Problem 12 • 1987 AIME Problem 13 • 1988 AIME Problem 5 • 1990 AIME Problem 9 • 1991 AIME Problem 10 • 1993 AIME Problem 7 • 1993 AIME Problem 11 • 1995 AIME Problem 15 • 1997 AIME Problem 14 • 1998 AIME Problem 4 • 1999 AIME Problem 10 • 1999 AIME Problem 13 • 2000 AIME I Problem 5 • 2000 AIME II Problem 3 • 2001 AIME I Problem 6 • 2001 AIME I Problem 10 • 2001 AIME I Problem 15 • 2001 AIME II Problem 11 • 2002 AIME I Problem 1 • 2005 AIME I Problem 9 • 2007 AIME II Problem 10 • 2008 AIME I Problem 9 • 2010 AIME I Problem 1 • 2010 AIME I Problem 4 • 2010 AIME II Problem 4 • 2011 AIME I Problem 10 • 2013 AIME I Problem 4 • 2013 AIME I Problem 6 • 2014 AIME I Problem 2 • 2014 AIME I Problem 12 • 2014 AIME II Problem 13 • 2015 AIME I Problem 2 • 2015 AIME I Problem 5 • 2015 AIME II Problem 5 • 2016 AIME I Problem 2 • 2017 AIME II Problem 2 • 2018 AIME I Problem 3 • 2019 AIME I Problem 2 • 2019 AIME I Problem 5 • 2020 AIME I Problem 9 • 2022 AIME I Problem 9 • 2023 AIME I Problem 1 • 2024 AIME I Problem 11 • 2025 AIME I Problem 7