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express the following probability as a simplified fraction and as a dec…

Question

express the following probability as a simplified fraction and as a decimal. if one person is selected from the population described in the table, find the probability that the person is not married. marital status of a certain population, ages 18 or older, in millions

femalemaletotal
never married314273
divorced151227
widowed639
total119123242

p(not married)=□ (type an integer or a simplified fraction.)

Explanation:

Step1: Find total population

The total population is the sum of all the values in the table, which is 242 million.

Step2: Find number of non - married people

The number of non - married people is the sum of never - married, divorced and widowed. So, \(73 + 27+9=109\) million.

Step3: Calculate probability

The probability \(P(\text{not married})\) is the number of non - married people divided by the total population. So, \(P(\text{not married})=\frac{109}{242}\approx0.45\)

Answer:

\(\frac{109}{242}\), \(0.45\)