1313_section7o2 - Section 7.2 Definition of Probability...

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Section 7.2 – Definition of Probability 1 Section 7.2 Definition of Probability Experiment: Toss a coin. Sample Space: {H, T}. If the coin is unbiased, then there is one chance out of two of obtaining a head. That is, the probability of tossing a head is 2 1 ) ( = H P . Another way to find P(H) is based on continued experimentation. A coin is tossed several times and the results are recorded as below: As the number of trials becomes very large, the relative frequency approaches 0.5. That is, P(H)=1/2. Consider an experiment that can be repeated over and over again under independent and similar conditions. Suppose that in n trials the event E occurs m times. The ratio n m is called the relative frequency of an event E after n repetitions. If this frequency approaches a value P(E) as n becomes larger and larger, then P(E) is called the probability of the event E. Note: The probability of an event is a number that lies between 0 and 1, inclusive.
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