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Introduction to Counting & Probability

Fundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem.

12 lessons

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
12 lessons ARE YOU READY? DO YOU NEED THIS? SYLLABUS  

Schedule

Sunday
Jul 30 - Oct 22
7:30 - 9:00
PM ET
Jul 30 - Oct 22
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Wednesday
Aug 9 - Oct 25
7:30 - 9:00
PM ET
Aug 9 - Oct 25
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Sunday
Aug 20 - Nov 12
1:00 - 2:30
PM ET  
Aug 20 - Nov 12
1:00 - 2:30 PM Eastern
12:00 - 1:30 PM Central
11:00 - 12:30 PM Mountain
10:00 - 11:30 AM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Thursday
Sep 14 - Dec 7
7:30 - 9:00
PM ET
Sep 14 - Dec 7
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Friday
Sep 22 - Dec 15
7:30 - 9:00
PM ET
Sep 22 - Dec 15
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Monday
Oct 9 - Jan 15
7:30 - 9:00
PM ET
Oct 9 - Jan 15
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Tuesday
Oct 10 - Jan 23
4:30 - 6:00
PM ET  
Oct 10 - Jan 23
4:30 - 6:00 PM Eastern
3:30 - 5:00 PM Central
2:30 - 4:00 PM Mountain
1:30 - 3:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Sunday
Oct 29 - Feb 4
7:30 - 9:00
PM ET
Oct 29 - Feb 4
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL
Wednesday
Dec 13 - Mar 13
7:30 - 9:00
PM ET
Dec 13 - Mar 13
7:30 - 9:00 PM Eastern
6:30 - 8:00 PM Central
5:30 - 7:00 PM Mountain
4:30 - 6:00 PM Pacific
Click here to see more time zones
$380 (~$32/week)
$429 w/books
$380 (~$32/week)
With Books $429
ENROLL

AoPS Holidays

There are no classes September 2‐4, October 31, November 20‐27, and December 21‐January 3, 2024.

Who Should Take?

This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. This course is roughly the same difficulty as our Introduction to Number Theory class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.

Lessons

Lesson 1 Lists, Venn Diagrams, Addition, Multiplication
Lesson 2 Casework, Constructions, and Restriction
Lesson 3 Overcounting and Combinations
Lesson 4 Combinations and Distinguishability
Lesson 5 Challenging Problems Day
Lesson 6 Introduction to Probability
Lesson 7 Probability and Arithmetic
Lesson 8 Geometric Probability, Think About It!, and Expected Value
Lesson 9 Pascal's Triangle and Identities
Lesson 10 Distributions and The Hockey Stick Identity
Lesson 11 The Binomial Theorem
Lesson 12 Challenging Problems Day 2

Required Textbook

Introduction to Counting & Probability
By David Patrick
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
Related course: Introduction to Counting and Probability

I had so much fun in this class! It was BY FAR my favorite class this semester! I think it was very informative and really interesting and I would highly (very, very, very highly) recommend this class to anybody with no hesitation!

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