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  3. AP Statistics CRAM – Probability Rules & Random Variables

ap statistics cram – probability rules & random variables

originally streamed in 2019 with Jerry KosoffTeacher
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Learn probability rules and random variables for the AP Statistics exam. This cram session covers everything from basic probability definitions to binomial and geometric distributions, with practice problems to help you prepare. Review key probabili ...more

curriculum note

This video was recorded for the 2020 COVID exam format (2 free response questions, ~45 minutes total, no calculator assumed, and Units 8–9 excluded). The current AP Statistics exam has a different structure with multiple-choice and full free-response sections covering all units.

covered in this stream

units
Unit 4 – Probability, Random Variables, and Probability Distributions
topics
4.3 Introduction to Probability4.4 Mutually Exclusive Events4.5 Conditional Probability4.6 Independent Events and Unions of Events4.7 Introduction to Random Variables and Probability Distributions4.8 Mean and Standard Deviation of Random Variables4.9 Combining Random Variables4.10 Introduction to the Binomial Distribution4.11 Parameters for a Binomial Distribution4.12 The Geometric Distribution4.2 Estimating Probabilities Using SimulationProbabilityConditional Probability and IndependenceCombining Random VariablesRandomness, Probability and Simulation

timestamps

  • 0:00

    Introduction to Cram Session

  • 0:38

    Community Practice Plug

  • 1:40

    Exam Details Reminder

  • 3:44

    Basic Probability Definitions

  • 5:17

    Probability Basics Overview

  • 7:25

    Expressing Probabilities

  • 9:01

    Event Complements

  • 11:07

    Joint Probability

  • 12:41

    Mutually Exclusive Events

  • 13:44

    Union of Events

  • 18:03

    Conditional Probability

  • 20:10

    Tree Diagrams

  • 22:13

    Independent Events

  • 24:48

    Probability Definitions Summary

  • 25:19

    Example Scenario Analysis

  • 34:46

    Random Variables Introduction

  • 36:20

    Discrete Random Variables

  • 42:34

    Continuous Random Variables

  • 46:10

    Binomial Random Variables

  • 53:28

    Geometric Random Variables

  • 1:00:39

    Combining Random Variables

  • 1:04:21

    Practice Problem One

  • 1:13:28

    Practice Problem Two

  • 1:18:54

    Session Wrap-Up

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© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

every AP exam is fiveable

Fiveable

Study Content & Tools

Study GuidesFRQs + AI ScoringAP Essay Grader for StudentsAI Grading for TeachersPractice QuestionsGlossaryScore Calculators

Company

What's New?PricingBulk DiscountsTestimonialsFAQsEmail us

Resources

AP Exam Schedule 2027AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

history

🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history

social science

✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government

english & capstone

✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar

arts

🎨 ap art & design🖼️ ap art history🎵 ap music theory

science

🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics

math & computer science

🧮 ap calculus ab♾️ ap calculus bc📐 ap precalculus📊 ap statistics💻 ap computer science a⌨️ ap computer science p

world languages

🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams

✏️ PSAT🎓 Digital SAT🎒 ACT

honors classes

🍬 honors algebra II🫀 honors anatomy🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics📐 honors geometry⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history

college classes

👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science

hs classes

🏛️ alabama history⛰️ appalachian studies🌴 california history🌍 earth science🌐 ethnic studies🐊 florida history🍑 georgia history🌎 global studies🌺 hawaiian studies📰 journalism🪶 native american studies🌵 new mexico history🤠 oklahoma history⚗️ physical science🎙️ speech and debate🤝 texas government🤠 texas history🌲 washington state history🕊️ world religions
RefundsTermsPrivacyCCPAAI TransparencySchool Data Privacy

© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.