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The U.S. Bureau of Labor Statistics reports that approximately 21% of the adult population under age 65 is between 18 and 24 years of age, 28% is between 25 and 34, 19% is between 35 and 44, and 32% is between 45 and 64. An automobile manufacturer wants to obtain opinions on a new design from five randomly chosen adults from the group. Of the five so selected, find the approximate probability that two are between 18 and 24, two are between 25 and 44, and one is between 45 and 64.

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