Expected value — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses expected value — 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 10

2006 AMC 10A Problem 13 · 2007 AMC 10B Problem 22 · 2015 AMC 10B Problem 18 · 2021 AMC 10A Fall Problem 10 · 2021 AMC 10B Fall Problem 16 · 2025 AMC 10A Problem 16

More probability and statistics concepts

basic probabilityBayes’ Theorembinomial probabilitycomplementary probabilityconditional probabilitydata and graph interpretationdice (probability)geometric distributiongeometric probabilityharmonic meanindependent eventsmeanmedian (data)moderandom walkrangerecursive probabilitysampling without replacementweighted mean