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Introduction to Counting & ProbabilityFundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem. 
12 lessons 
12 lessons ARE YOU READY? DO YOU NEED THIS? SYLLABUS 
Schedule
Tue & Thurs
Jul 9  Aug 15 
7:30  9:00 PM ET
Jul 9  Aug 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 
Charles Buehrle 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
CLOSED
With Books $439

Sunday
Jul 28  Oct 20 
7:30  9:00 PM ET
Jul 28  Oct 20
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 
Orianne Luo 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Monday
Aug 19  Nov 11 
7:30  9:00 PM ET
Aug 19  Nov 11
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 
Asa Frank 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Thursday
Aug 29  Nov 21 
7:30  9:00 PM ET
Aug 29  Nov 21
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 
sarahmarie belcastro 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Sunday
Sep 8  Nov 24 
7:30  9:00 PM ET
Sep 8  Nov 24
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 
Maria Mendes 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Wednesday
Sep 25  Dec 18 
7:30  9:00 PM ET
Sep 25  Dec 18
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 
Luís Finotti 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Sunday
Oct 27  Feb 2 
7:30  9:00 PM ET
Oct 27  Feb 2
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 
Achilleas Sinefakopoulos 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

Thursday
Dec 5  Mar 6 
7:30  9:00 PM ET
Dec 5  Mar 6
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 
Thomas Zhang 
$390
(~$33/lesson)
$439 w/books

$390
(~$33/lesson)
ENROLL
With Books $439

AoPS Holidays
There are no classes August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.
Who Should Take?
This course is appropriate for students in grades 69 who have mastered basic algebra up through solving linear equations and manipulating multivariable 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
1  Lists, Venn Diagrams, Addition, Multiplication 
2  Casework, Constructions, and Restriction 
3  Overcounting and Combinations 
4  Combinations and Distinguishability 
5  Challenging Problems Day 
6  Introduction to Probability 
7  Probability and Arithmetic 
8  Geometric Probability, Think About It!, and Expected Value 
9  Pascal's Triangle and Identities 
10  Distributions and The Hockey Stick Identity 
11  The Binomial Theorem 
12  Challenging Problems Day 2 
Required Textbook
Introduction to Counting & Probability
A thorough introduction for students in grades 710 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 