Sampling with replacement — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Sampling with 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 problems are used with official legal permission of the Mathematical Association of America (MAA).

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1600
AMC 12

1983 AMC 12 Problem 15

More probability and statistics concepts

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