MATH 1202 Lecture Notes - Lecture 8: Sample Space, Mutual Exclusivity, Fair Coin

• School: Saint Mary's University
• Department: Mathematics
• Course: MATH 1202
• Professor: Margaret Mc Kee

Document Summary

Sec 2. 1: sample space and events: experiment: an experiment is any action or process whose outcome is subject to uncertainty. Ex: toss a coin, throw a die etc: sample space: the sample space of an experiment, denoted by s, is the set of all possible outcomes of that experiment. Ex: toss a coin: s = {h, t } Throw a die: s = {1, 2, 3, 4, 5, 6: events: an event is a collection(subset) of outcomes contained in the sample space s. 1: union: union of two events a and b is denoted by. Probability: axiom, for event a, p (a) 0, p (s) = 1. , ak is nite collection of mutually exclusive events, then. , is in nite collection of mutually exclusive events, then. P (ai: proposition, for event a, p (a) = 1 p (a , if a and b are mutually exclusive, then. P (a b) = 0: for any two events a and b.