Question

question 18 (5 points)
short answer. write the word or phrase that best completes each statement or answers the question.
consider the data in the table shown which represents the marital status of males and females 18 years or older in the united states in 2003. determine the probability that a randomly selected u.s. resident 18 years or older is divorced or a male? round to the nearest hundredth.
source: u.s. census bureau, current population reports

Explanation:

Step1: Recall the formula for the probability of the union of two events

The formula for \( P(A \cup B) \) is \( P(A) + P(B) - P(A \cap B) \), where \( A \) is the event of being divorced and \( B \) is the event of being a male.

Step2: Find \( P(A) \) (probability of being divorced)

The number of divorced people is \( 21.7 \) million, and the total number of people is \( 212.5 \) million. So \( P(A)=\frac{21.7}{212.5} \).

Step3: Find \( P(B) \) (probability of being a male)

The number of males is \( 102.4 \) million, so \( P(B)=\frac{102.4}{212.5} \).

Step4: Find \( P(A \cap B) \) (probability of being a divorced male)

The number of divorced males is \( 9.0 \) million, so \( P(A \cap B)=\frac{9.0}{212.5} \).

Step5: Calculate \( P(A \cup B) \)

Substitute the values into the formula:

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Answer:

\( 0.54 \)