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

AMC 8

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

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 without replacementweighted mean