Math1313-Section7.1-Blank

Math1313-Section7.1-Blank - mutually exclusive . Example 1:...

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Section 7. 1 – Experiments, Sample Spaces, and Events 1 Section 7.1 Experiments, Sample Spaces, and Events An experiment is an activity with observable results (outcomes). A sample point is an outcome of an experiment. A sample space is a set consisting of all possible sample points of an experiment. A Finite Sample Space is a sample space with finitely many outcomes. An event is a subset of a sample space of an experiment. Since an event is defined in terms of a set, it should make sense that we will use what we covered in Chapter 6 in our study of experiments and events. The union and intersection of two events (sets) is defined the same as before. If the intersection between two events, E and F is equal to the Ø, then E and F are called
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Unformatted text preview: mutually exclusive . Example 1: A sample of 3 apples taken from a fruit stand are examined to determine whether they are good or rotten. The sample space S = {GGG, GGR, GRG, GRR, RGG, RGR, RRG, RRR}. Let E be the event that at least 2 apples are good and let F be the event that exactly 2 apples are rotten. Find the event ( F E I ). Example 2: Consider the experiment of tossing a 6-sided die. Let E be the event that a number cast is divisible by 2 or 3 and let F be the event that a prime number is cast. a. Describe the sample space, the events E and F. b. Find (E U F). How many sample points are in this set?...
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