Probability and Its Applications
One Section Available to Choose From:
|Course Dates||Weeks||Meeting Times||Status||Instructor(s)||CRN|
|June 30, 2014 - July 11, 2014||2||M-F 3:50-6:40P||Open||Philipp Ketz||10670|
Probability is all around and is more than just the foundation of statistical analysis. This course aims at providing an intuitive understanding of probability. We will discuss a wide array of applications ranging from counting cards (e.g. Blackjack, Poker) to understanding the accuracy of medical tests.
This is an introductory course in probability. We will study the basic concepts of probability and apply them to wide range of problems. For example, what are the chances of winning the lottery? In poker you need more than just a poker face; You need to understand what the chances are of winning with your hand before you go all in. This course starts with some set theory (using Venn diagrams) and introduces basic counting. We will discuss elementary concepts such as conditional probabilities, which allow us to understand e.g. "false positives" of medical tests. Towards the end we will also discuss some common probability distributions, which allow us to model some real life events. E.g. what is the probability that my light bulb will at least last a year. Many statistics courses require some basic probability. This course provides a basic understanding of probability, but beyond that illustrates the usefulness of probability in many real life situations.
The goal of this course is twofold. On the one hand, it provides students with a good understanding of probability, which enables them to e.g. take a statistics course in the future. On the other hand, it highlights the many situations in life, where we encounter probability. And more importantly, it enables students to assess new information, which comes in form of probabilities and odds, correctly and make informed decisions.
Some calculus is required, although we will try to introduce concepts and ideas intuitively without heavily relying on calculus.