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 male or is divorced.
express the probability as a simplified fraction.
the probability that the person is male or is divorced is
(type an integer or a simplified fraction )

Explanation:

Step1: Use the formula for \(P(A\cup B)\)

The formula for \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\). Let \(A\) be the event that the person is male and \(B\) be the event that the person is divorced.
\(P(A)=\frac{\text{Number of males}}{\text{Total population}}=\frac{127}{251}\), \(P(B)=\frac{\text{Number of divorced}}{\text{Total population}}=\frac{28}{251}\), and \(P(A\cap B)=\frac{\text{Number of divorced males}}{\text{Total population}}=\frac{12}{251}\)

Step2: Substitute into the formula

$$
LATEXBLOCK0
$$

Answer:

\(\frac{143}{251}\)