MATH 2510 Chapter Notes - Chapter 4: Mutual Exclusivity, Sample Space, Frequentist Probability

• School: CU-Boulder
• Department: Mathematics
• Course: MATH 2510
• Professor: Michael Daniel

Document Summary

Any number between but not including 0 and 1. Sample space- anything that could be an outcome. Statistical experiment- any random activity that results in a definite outcome. Rolling dice, drawing a card from a shuffled deck. Simple event- a single element of the sample space. In this class, you can use percentages, fractions, or decimals for probability. Venn diagrams in probability- rectangle encompasses the area as 1: everything that can happen. Superscript c means everything that"s not the thing being superscripted. Law of large numbers- the larger the sample, the closer our estimate is the the actually probabilities. Odds- the ratio of probability losing to ratio of probability of winning (typically in terms of odds against winning) Independent events- they don"t have any impact on each other"s probability. Or: p(a or b) = p(a) + p(b) - p(a and b) *if mutually exclusive, p(a + b) = 0. If independent p(a) = p(a|b) and p(b) = p(b|a)