The table shows the educational attainment of the population of a certain country, ages 25 and over. Use the data in the table, expressed in millions, to find the probability that a randomly selected person from this country, aged 25 and over, has completed four years of high school only or less than four years of college. \begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{2}{|c|}{ Years of High School } & \multicolumn{2}{|c|}{ Years of College } & \multirow[b]{2}{*}{ Total } \\ \hline & Less than 4 & 4 only & Some (less than 4) & 4 or more & \\ \hline Male & 16 & 29 & 19 & 16 & 80 \\ \hline Female & 14 & 24 & 22 & 23 & 83 \\ \hline Total & 30 & 53 & 41 & 39 & 163 \\ \hline \end{tabular} What is the probability that the person has completed four years of high school only or less than four years of college? (Type an integer or a simplified fraction.)
Solution
Step 1 ：The question is asking for the probability that a randomly selected person has completed either four years of high school only or less than four years of college.
Step 2 ：To find this probability, we need to add the number of people who have completed four years of high school only and the number of people who have completed less than four years of college, and then divide by the total population.
Step 3 ：The numbers we need are all given in the table.
Step 4 ：Let's denote the number of people who have completed four years of high school only as \(four\_years\_high\_school\_only\), the number of people who have completed less than four years of college as \(less\_than\_four\_years\_college\), and the total population as \(total\_population\).
Step 5 ：From the table, we have \(four\_years\_high\_school\_only = 53\), \(less\_than\_four\_years\_college = 41\), and \(total\_population = 163\).
Step 6 ：The probability can be calculated as \(\frac{four\_years\_high\_school\_only + less\_than\_four\_years\_college}{total\_population}\), which is approximately 0.577.
Step 7 ：Final Answer: The probability that a randomly selected person from this country, aged 25 and over, has completed four years of high school only or less than four years of college is approximately \(\boxed{0.577}\).
