MATH 1070Q Lecture Notes - Lecture 3: Sample Space, Set Notation, Empty Set
Document Summary
Today"s learning o(cid:271)je(cid:272)tives - 9/6/17: understanding the terminology of probability: experiment, outcome, sample space, etc, know how to determine the sample space for an experiment, understand and use set notation for various events, calculate the probabilities of events. An experiment is an activity that has observable results, and an outcome is the result. The set of all possible outcomes is called the sample space and is usually denoted s - can also (cid:271)e , o(cid:373)ega. If we repeatedly perform identical experiments, each repetition is called a trial. An experiment might be rolling a six-sided die. An outcome might be that the die rolled a 4. The sample space of the experiment is the set of all possible outcomes: s = {1, 2, 3, The sample space depends on how the experiment is defined and the outcomes you want to measure. You (cid:272)a(cid:374) (cid:271)e talki(cid:374)g a(cid:271)out the sa(cid:373)e e(cid:454)peri(cid:373)e(cid:374)t, (cid:271)ut if (cid:455)ou"re (cid:373)easuri(cid:374)g differe(cid:374)t things, you can have different sample spaces.
