Question

The state of Georgia is divided up into 159 counties. Consider a population of Georgia residents with mutually independent and equally likely home locations. If you have a group of n such residents, what is the probability that two or more people in the group have a home in the same county?

Topic probabilities (cross check with image)
Q. The state of Georgian is divided up into 159 countries.Consider the population of Georgia Residents with mutually independent and equally likely home locations. if u have a group of n such residents, what is the probability that two or more people in the group have a home in the same country

Answer 1

Counties=159 The probability that a person is living in one of the county is (1/159) P(1 person) = (1/159) Now, for another person, the probability that he is also living in the same county where the first person lives is (1/159)2. Therefore, for n persons, the probability that all are living in the same county is (1/159)". P(n person) = (1/159)" Given problem is to find the probability of 2 or more people living in the same county that is, probability(n>=2). P(n>=2) = 1 - P(n<1) P(n>=2) = 1 - "C1(1/159) Thus, the required probability is (1 - C1(1/159)). Scanned with CamScanner

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