Counting & Probability

One-semester course. This introductory course is ideal for students who have mastered the basics of Algebra and want to explore creative problem solving. The class will strengthen the student’s ability to wrestle with tough problems and explain answers in words. Topics include but are not limited to: permutations, combinations, Pascal’s Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem, and more. This course, similar to other AoPS courses, emphasizes learning how to solve difficult problems.  Students are allowed, and encouraged, to attempt problems multiple times until they master the concept.

Prerequisites: Successful completion of Algebra I.

Students should complete the readiness test to determine whether they should take the class. Students should complete the readiness test without a calculator and without help.
In addition, students should be comfortable using a keyboard to input work.