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Sampling without replacement — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses sampling without replacement — 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

2007 AMC 8 Problem 21

AMC 10

2001 AMC 10 Problem 23 · 2005 AMC 10B Problem 21 · 2013 AMC 10B Problem 12 · 2016 AMC 10A Problem 12 · 2018 AMC 10B Problem 6

AMC 12

2001 AMC 12 Problem 11 · 2021 AMC 12B Fall Problem 23

AIME

2004 AIME II Problem 2 · 2005 AIME II Problem 2 · 2015 AIME I Problem 5 · 2026 AIME II Problem 5

More probability and statistics concepts

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