# Probabilities from proportion tables

The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year.

men

age proportion in population proportion never married

18-24 0.133 0.874

25-34 0.205 0.397

35-44 0.232 0.187

45-64 0.287 0.075

65 or over 0.142 0.038

women

age proportion in population proportion never married

18-24 0.123 0.775

25-34 0.194 0.298

35-44 0.219 0.121

45-64 0.284 0.062

65 or over 0.181 0.047

Find the probability that a randomly selected man who has never married is between 35 and 44 years old (inclusive)

Find the probability that a randomly selected woman who has been married is between 18 and 24 (inclusive)

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#### Solution Preview

Solution. Let A1, A2,A3,A4 and A5 denote the event that a person is man with age 18-24, 25-34,35-44,45-64, and 65 or over, respectively.

Let B1, B2,B3,B4 and B5 denote the event that a person is woman with age 18-24, 25-34,35-44,45-64, and 65 or ver, respectively. We denote the event that a man never marries by AC, and a woman never marries by BC, and we denote the event that a ...

#### Solution Summary

Probabilities are calculated from a proportion table. The proportion of males and female who are not married between the age of 35 and 44 years old are determined.