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All the Mathematics You Missed by Lori Pedersen, Thomas A. Garrity

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Chapter 15

Combinatorics and Probability Theory

Basic Goals:

Cleverly Counting Large Finite Sets Central Limit Theorem

Beginning probability theory is basically the study of how to count large finite sets, or in other words, an application of combinatorics. Thus the first section of this chapter deals with basic combinatorics. The next three sections deal with the basics of probability theory. Unfortunately, counting will only take us so far in probability. If we want to see what happens as we, for example, play a game over and over again, ...

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