Logo for LIVE by Po-Shen Loh

LIVE

English

Binomial probability — AMC & AIME Problems

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

1200
1600
2000
2400
2800
AMC 8

2002 AMC 8 Problem 21 • 2014 AMC 8 Problem 18

AMC 10

2004 AMC 10A Problem 10 • 2007 AMC 10B Problem 22 • 2008 AMC 10B Problem 17 • 2017 AMC 10B Problem 9

AMC 12

1974 AMC 12 Problem 24 • 1982 AMC 12 Problem 25 • 1988 AMC 12 Problem 28 • 2010 AMC 12A Problem 15 • 2015 AMC 12B Problem 17 • 2017 AMC 12A Problem 25

AIME

1989 AIME Problem 5 • 2002 AIME II Problem 12 • 2006 AIME II Problem 10 • 2009 AIME I Problem 3

More probability and statistics concepts

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