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STAT 430/510 Lecture 1 STAT 430/510 Probability Hui Nie Lecture 1 May 26th, 2009
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STAT 430/510 Lecture 1 Introduction Probability is the study of randomness and uncertainty. In the early days, probability was associated with games of chance, such as gambling. It is useful to have an effective method for counting the number of ways that things can happen.
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STAT 430/510 Lecture 1 Example A fair coin is rolled twice. You win $100 if head happens twice. What is the probability that you win? Solution: 0.25. Why? A fair coin is rolled n times. You win $100 if head happens all the time. What is the probability that you win?
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STAT 430/510 Lecture 1 The Basic Principle of Counting The Basic Principle of Counting Suppose that two experiments are to be performed. Then if experiment 1 can result in anyone of m possible outcomes and if, for each outcome of experiment 1, there are n possible outcomes of experiment 2, then together there are mn possible outcomes of the two experiments.
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STAT 430/510 Lecture 1 Example
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