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
express the probability as a simplified fraction.
p(not divorced) =
(type an integer or a simplified fraction.)
express the probability as a decimal.
p(not divorced) ≈
(round to two decimal places as needed.)

Explanation:

Step1: Find total population

Total population = 264 (from table)

Step2: Find divorced population

Divorced population = 30 (from table)

Step3: Calculate non-divorced population

Non-divorced population = $264 - 30 = 234$

Step4: Compute probability as fraction

$P(\text{not divorced}) = \frac{234}{264}$
Simplify: divide numerator/denominator by 6: $\frac{234\div6}{264\div6} = \frac{39}{44}$

Step5: Convert to decimal

$\frac{39}{44} \approx 0.89$

Answer:

$P(\text{not divorced}) = \frac{39}{44}$
$P(\text{not divorced}) \approx 0.89$