[ELEG 3143] - Midterm Exam Guide - Everything you need to know! (24 pages long)

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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.