Counting and Probability

Term Spring 2021
Code MTH23
Ages 10-14
Instructor Allen Gross
Price $425

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This is the second half of a two-semester course that began in Fall 2020.

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 year will be reading about those origins and seeing the basic problems that these two men set out to answer. Also covered during the year 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 who would be in the seventh grade if they were in a public school.

Live Classes: Wednesdays, 2:00 p.m. Eastern Time, from January 13th to May 12th. 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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