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22. Eighteen out of the thirty people who have already come out of a building at the beginning of a lunch break have been women. What are the odds that the next person out is a woman?
(a) 12 to 18
(b) 18 to 12
(c) 12 to 30
(d) 18 to 30

www.math.temple.edu\newline2222. Eighteen out of the thirty people who have already come out of a building at the beginning of a lunch break have been women. What are the odds that the next person out is a woman?\newline(a) 1212 to 1818\newline(b) 1818 to 1212\newline(c) 1212 to 3030\newline(d) 1818 to 3030

Full solution

Q. www.math.temple.edu\newline2222. Eighteen out of the thirty people who have already come out of a building at the beginning of a lunch break have been women. What are the odds that the next person out is a woman?\newline(a) 1212 to 1818\newline(b) 1818 to 1212\newline(c) 1212 to 3030\newline(d) 1818 to 3030
  1. Consider Information Given: To determine the odds that the next person coming out of the building is a woman, we need to consider the information given about the people who have already come out. We know that 1818 out of 3030 people were women. However, this information does not directly affect the probability of the next person being a woman unless we have reason to believe that the gender distribution of people coming out of the building is not random. Assuming that the gender distribution is random and there is no additional information about the remaining people inside the building, the odds of the next person being a woman would be based on the general population distribution or any known distribution of men and women in the building. Since we do not have this information, we cannot calculate the odds based on the 1818 out of 3030 people who have already come out.
  2. Assumption of Random Distribution: Given the lack of information about the total number of people in the building or any specific distribution, we cannot determine the odds of the next person being a woman based on the 1818 out of 3030 statistic alone. The odds in the options provided (a) 1212 to 1818, (b) 1818 to 1212, (c) 1212 to 3030, and (d) 1818 to 3030 are not applicable without additional context. Therefore, we cannot select any of these options as the correct answer to the question prompt.

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