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Conditional probability — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Conditional 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.

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AMC 8

1986 AMC 8 Problem 24 • 2019 AMC 8 Problem 15

AMC 10

2005 AMC 10A Problem 18 • 2008 AMC 10B Problem 16 • 2009 AMC 10A Problem 18 • 2011 AMC 10A Problem 21 • 2012 AMC 10B Problem 18 • 2017 AMC 10B Problem 11 • 2020 AMC 10B Problem 18 • 2021 AMC 10B Fall Problem 20 • 2025 AMC 10B Problem 14 • 2025 AMC 10B Problem 22

AMC 12

1973 AMC 12 Problem 23 • 1983 AMC 12 Problem 15 • 1989 AMC 12 Problem 20 • 1994 AMC 12 Problem 27 • 1996 AMC 12 Problem 16 • 2003 AMC 12B Problem 19 • 2005 AMC 12A Problem 14 • 2011 AMC 12A Problem 5 • 2017 AMC 12B Problem 10

AIME

2005 AIME II Problem 2 • 2010 AIME II Problem 13 • 2011 AIME I Problem 12 • 2014 AIME II Problem 2 • 2014 AIME II Problem 6 • 2015 AIME II Problem 2 • 2016 AIME II Problem 2 • 2017 AIME II Problem 9 • 2021 AIME I Problem 1 • 2022 AIME II Problem 2 • 2024 AIME I Problem 4 • 2026 AIME I Problem 9

More probability and statistics concepts

basic probabilityBayes’ Theorembinomial probabilitycomplementary probabilitydata and graph interpretationdice (probability)expected valuegeometric distributiongeometric probabilityharmonic meanindependent eventsmeanmedian (data)moderandom walkrangerecursive probabilitysampling with replacementsampling without replacementweighted mean