CSCI 3022 Lecture Notes - Lecture 4: Discrete Mathematics, Sample Space, Fair Coin

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Aspects of the world seem random and unpredictable. Probability is a way of thinking about unpredictable phenomena as if they were each generated from some random process . And there are specific classes of random processes we can describe with math. Think of a random process as a trial or experiment. Sample space : the sent of all possible outcome of the experiment. Example: if we flip a fair coin a single time, what is the sample space. Observation: these are discrete sample spaces because there are a finite number of outcomes. It"s the computer science way of saying discrete math . Well, there"s continuous math like - derivatives and integrals. The flow of water out of a faucet. And then there"s discrete math like - counting, sorting, enumeration. For each event in the probability: a measure between 0 and 1 of how likely it is for the event to occur.

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