MathCastle.org
0 XPSign up
← All courses

Counting & Probability

11 topics · study sheets, quizzes, and tests.

Start the course

Go through each topic step by step, with 10 timed practice problems after every section.

Start
Final Test (30) Big Test (50) Print the course (PDF)Suggest a problem

Topics

1.

Core Ideas in Plain Terms

Counting and chance, in everyday language

Study PracticeQuizUnit Test
2.

Fundamental Counting: Permutations & Combinations

Competition counting & probability, Unit 1

Study PracticeQuizUnit Test
3.

Counting Strategies: Casework, Complementary & Overcounting

Competition counting & probability, Unit 2

Study PracticeQuizUnit Test
4.

Distributions: Stars & Bars and Integer Solutions

Competition counting & probability, Unit 3

Study PracticeQuizUnit Test
5.

Binomial Theorem, Pascal & Combinatorial Identities

Competition counting & probability, Unit 4

Study PracticeQuizUnit Test
6.

Inclusion--Exclusion, Derangements & Pigeonhole

Competition counting & probability, Unit 5

Study PracticeQuizUnit Test
7.

Recursion, Catalan Numbers & Generating Functions

Competition counting & probability, Unit 6

Study PracticeQuizUnit Test
8.

Probability Fundamentals & Geometric Probability

Competition counting & probability, Unit 7

Study PracticeQuizUnit Test
9.

Conditional Probability, Independence & Bayes

Competition counting & probability, Unit 8

Study PracticeQuizUnit Test
10.

Expected Value, Linearity & Advanced Probability

Competition counting & probability, Unit 9

Study PracticeQuizUnit Test
11.

Course Review

Every formula, identity, and technique for competition math

Study PracticeQuizUnit Test