BUEC 232 Lecture Notes - Lecture 7: Sample Space, Almost Surely, Randomness
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Individual outcomes are uncertain, but there is a regular distribution of outcomes in a large number of repetitions. A possible outcome of a variable: simple event (a) An outcome from a sample space with one characteristic (variable) e. g. drawing an ace from a shuffled deck of cards: joint event (a and b) An event described by two or more characteristics (variables) e. g. drawing an ace that is also red: complement of an event a (denoted a") All events that are not part of event a e. g. drawing any card that is not an ace. Each distinct possible outcome of variables is an event, so sample space is the collection of all possible events e. g. all 6 faces of a die. The union of events a and b is the sum of either events a or b or both occurring and is written.