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 divorced.
marital status of a certain population, ages18 or older, in millions

	married	never married	divorced	widowed	total
male	67	41	13	2	123
female	66	40	18	9	133
total	133	81	31	11	256

express the probability as a simplified fraction.
p(not divorced) = \\(\square\\)
(type an integer or a simplified fraction.)

Explanation:

Step1: Find total population

The total population (from the "Total" row and "Total" column) is 256 million.

Step2: Find number of divorced people

From the "Total" row and "Divorced" column, the number of divorced people is 31 million.

Step3: Find number of not divorced people

Subtract the number of divorced people from the total population: \( 256 - 31 = 225 \)

Step4: Calculate probability

The probability of not being divorced is the number of not divorced people divided by the total population: \( \frac{225}{256} \) (225 and 256 have no common factors other than 1, so it's simplified)

Answer:

\(\frac{225}{256}\)