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 divorced or is married. marital status of a certain population, ages 18 or older, in millions

	married	never married	divorced	widowed	total
female	68	35	16	5	124
total	137	85	30	9	261

express the probability as a simplified fraction.
p(divorced or married) =
(type an integer or a simplified fraction.)
express the probability as a decimal.
p(divorced or married) ≈
(round to two decimal places as needed.)

Explanation:

Step1: Find number of divorced and married

The number of married people is 137 million and the number of divorced people is 30 million. So the number of people who are divorced or married is $137 + 30=167$ million.

Step2: Calculate probability as fraction

The total number of people in the population is 261 million. The probability $P(\text{divorced or married})$ as a fraction is $\frac{167}{261}$.

Step3: Calculate probability as decimal

Divide 167 by 261: $167\div261\approx0.64$.

Answer:

$P(\text{divorced or married})=\frac{167}{261}$
$P(\text{divorced or married})\approx0.64$