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According to recent census figures, the proportion of adults (persons over 18 years of age) in the United States associated with five age categories are

According to recent census figures, the proportion of adults (persons over 18 years of age) in the United States associated with five age categories are as given in the following table:

Age Proportion
18-24 0.18
25-34 0.23
35-44 0.16
45-64 0.27
65+ 0.16

If these figures are accurate and five adults are randomly sampled, find the probability that the sample contains one person between the ages of 18 and 24, two between the ages of 25 and 34, and two between the ages of 45 and 64.

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