Counting and Probability

THIS IS A ONE-SEMESTER COURSE.

Probability sounds more daunting than it actually is. In fact, when applied to games of chance, sports, and other leisure activities, it turns out to be fun to work through many of the problems that students will encounter in this course.

As a branch of mathematics, probability had its origins in work that Blaise Pascal and Pierre de Fermat did in collaboration in the seventeenth century to answer a question from an aristocrat about gambling. Part of the fun of this course will be reading about those origins and seeing the basic problems that these two men set out to answer. Also covered in the course will be permutations, combinations, Pascal’s triangle, geometric probability, basic combinatorial identities, and the Binomial Theorem.

This course is set for the appropriate level of difficulty for children in the seventh or eighth grade.

Live Classes: Wednesdays, 3:00 p.m. Eastern Time. Students unable to attend a live class will be able to access a recording of the class.

Student Support: The instructor is available via email.

Materials: Students will need the book Introduction to Counting & Probability (available at https://artofproblemsolving.com).

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