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14111cn7.3-4 - c Kendra Kilmer Section 7.2 Definition of...

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c Kendra Kilmer October 11, 2011 Section 7.2 - Definition of Probability Definition: Suppose we repeat an experiment n times and an event E occurs m of those times. Then m n is called the relative frequency of the event E . Example 1: Let’s say you flip a coin 100 times and a head occurs 61 times. What is the relative frequency of the event E = { x | x is heads } ? Definition: Often, the more we repeat an experiment, the more the relative frequency approaches a certain value. We call this the empirical probability of the event. Definition: The probability of an event is a number between 0 and 1 that represents the likelihood of the event occuring. The larger the probability, the more likely the event is to occur. Definition: An event which consists of exactly one outcome is called a simple event of the experiment. Example 2: List the simple events associated with each of the given experiments: a) A nickel and a dime are tossed, and the result of heads or tails is recorded for each coin.
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