CSCA67H3 Lecture Notes - Product Rule, Sample Space, Bayes Estimator

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CSCA67H3 Full Course Notes
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Let e be the event that the rst two tosses are the same and f be the event that the last two tosses are the same. A. n(e and f ) = n(e f ) Now we can calculate the probability p (e or f ): Theorem (the sum rule) if e and f are events in an experi- ment then the probability that e or f occurs is given by: P (e or f ) = p (e) + p (f ) p (e and f ) Given a bag of 3 red marbles, 5 black marbles and 8 green marbles select one marble and then a second. When the probability of an event e depends on a previous event. F happening we denote this probability as p (e|f ). If e and f are two events in an experiment then the probability that both e and f occur is:

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