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Unformatted text preview: Lecture 10. More examples x.y:z. means Chapter x , section y , problem z . 3.5:33. A pair of dice is tossed 6 times. What is the probability that the sixth sum obtained is not a repetition? If this is too hard, try an easier problem. Say a single die is tossed 3 times. What is the probability that the third number obtained is not a repetition? Or try a more general problem. An experiment has a finite sample space Ω = { ω 1 , . . ., ω n } . If the experiment is performed m times, each trial being independent of the others, what is the probability that the last outcome has not previously occurred? Solution to the the more general problem, as presented in class. First, note that there are two sample spaces involved. One is Ω. The other is the product Ω m . An outcome in the latter is a sequence of m outcomes of Ω. Let f : Ω → [0 , 1] be the pmf of Ω. Then the probability of getting the outcome ω i on any trial is f ( ω i ), and the probability of not getting ω i is 1 f ( ω i...
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This note was uploaded on 11/29/2011 for the course MATH 3355 taught by Professor Britt during the Spring '08 term at LSU.
 Spring '08
 Britt
 Probability

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