ELEG 3143 Lecture Notes - Lecture 4: Sample Space

• School: University of Arkansas
• Department: Electrical Engineering
• Course: ELEG 3143
• Professor: Robert Saunders

Document Summary

In all applications of probability theory it"s important to understand the sample space of an experiment and being able to determine the number of outcomes in the sample space of a sequential experiment. An experiment consisting of two subexperiments, one with k outcomes and the other with n outcomes will have nk total outcomes. First is flip a coin and observe either heads h or tails t. 2nd is roll a six-sided die and observe the number of spots. The experiment flip a coin and roll a die has 2x6 outcomes, 12. The number of k-permutations of n distinguishable objects is. Corresponds to a sequential experiment in which the sample space of the subexperiments depend on the outcomes of previous subexperiments. Choosing an object from a collection which was obtained by specific rules and not replacing the object from the collection is called a k-permutation. Experiment: choose 2 objects without replacement, arrange them in alphabetical order, and observe the result.