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Probability Some Questions

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Return to Table of Content     Probability and Statistics Chapter 1:  #Probability  Chapter 2:  #Conditional Probability    Chapter 3:  #Baye's theorem    Probability Questions 1.   What is the probability that at least two out of   people have the same birthday? Assume 365 days in a year and that all days are equally likely. Solution: Since the birthday of any person can fall on any one of the 365 days, the exhaustive number of cases for birthday of   persons is 365. If the birthday of all n persons falls on different days, then the number of the favorable cases is: Because in this case the birthday of the first person can fall on any one of 365 days, the birthday of the second person can fall on any one of the remaining 364 days, and so on. Hence, the probability   that birthdays of all then n persons are different is given by Hence the required probability that at least two persons have same birthd...