MAT 117 Chapter Notes - Chapter 4: Sample Space, Almost Surely, John F. Kennedy International Airport
22 Sep 2016
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Probability: a numerical value that measures the likelihood that an event (e) occurs. Event: a subset of outcomes of the experiment. Experiment: a process that leads to one of several possible outcomes. Sample space: (denoted by s) contains all possible outcomes of the experiment. Exhaustive experiment: if all possible outcomes of an experiment belong to the events. Mutually exclusive experiment: if they do not share any common outcome of an experiment. The closer a probability is to 1, the more likely the event will occur. Ex: suppose our experiment consists of rolling a 6-sided die. P({2}) + p({4}) + p({6}) = 1/6 + 1/6 + 1/6 = 1/2. Union: (denoted by a b) the event consisting of all outcomes of a or b. Intersection: (denoted by a in a and b. B) the event consisting of all outcomes. Complement: (denoted by ec) the event consisting of all outcomes in the sample space s that are not in e.
