Probability and statistics help to bring logic to a world replete with randomness and uncertainty. This course provides an elementary introduction to probability and statistics with applications. Topics include how to think about uncertainty and randomness, how to make good predictions, basic combinatorics, graphical and numerical descriptive statistics, probability spaces, random variables and their distributions, sampling distributions, point estimation, confidence intervals, hypothesis tests, repeated trials, probability limit theorems. The emphasis will be on understanding simple probabilities, making statistical inferences, and interpreting results of statistical tests. Students will understand the logic of statistical inference and will be able to apply common inferential procedures.