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M316 Chapter 10

# 2 if s is the sample space in a probability model

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Unformatted text preview: ion rule for disjoint events. 4 (a theorem proved using rules 1, 2, and 3) For any event A P(A does not occur) = 1- P(A) . The addition rule applies to any number of disjoint events. Exercise Suppose we flip a coin 3 times. a) What is the sample space? b) Assuming that the coins are fair, what are the probabilities of the outcomes? c) What is the probability of seeing exactly one head? d) What is the probability of seeing exactly one tail? e) What is the probability of seeing exactly one head or exactly one tail? f) What is the probability of seeing at least one head? Discrete Probability Models We distinguish between two basic types of probability models, discrete and continuous. Definition A probability model with a finite sample space is discrete. To assign probabilities in a discrete model, list the probabilities of all the individual outcomes. Recall that these probabilities must be numbers between 0 and 1, and they must add up to one. The probability of an event is the sum of the probabilities of the outcomes making up that event. 4 M3...
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