01:960:401 Chapter Notes - Chapter 4: Countable Set, Elementary Event, Sample Space

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The probability of an event is viewed as a numerical measure of the chance that the event will occur. An experiment is the process of observing a phenomenon that has variation in its outcomes. The sample space associated with an experiment is the collection of all possible distinct outcomes of the experiment. Each outcome is called an elementary outcome, a simple event, or an element of the sample space. An event is the set of elementary outcomes possessing a designated feature. Elementary outcome constitute the ultimate breakdown of the potential results of an experiment. Ex/ rolling a dice, elementary outcomes are 1,2,3,4,5,6, which constitutes the sample space. Only one elementary event can occur at a time. Sample space: s, elementary outcomes: e1,e2,e3,, events by a,b, etc. An event a occurs when any one of the elementary outcomes in a occurs.

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