The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions, to find the probability that a randomly selected citizen, aged 25 or over, had 4 years of high school only.

\begin{tabular}{|l|c|c|c|c|c|}
\hline & \begin{tabular}{c}
Less Than \\
4 Years \\
High School
\end{tabular} & \begin{tabular}{c}
4 Years \\
High School \\
Only
\end{tabular} & \begin{tabular}{c}
Some College \\
(Less Than \\
4 Years)
\end{tabular} & \begin{tabular}{c}
4 Years \\
College \\
(or More)
\end{tabular} & Total \\
\hline Male & 14 & 25 & 17 & 22 & 78 \\
\hline Female & 15 & 26 & 21 & 17 & 79 \\
\hline Total & 29 & 51 & 38 & 39 & 157 \\
\hline
\end{tabular}

The probability that a randomly selected citizen, aged 25 or over, had 4 years of high school only is [tex]$\square$[/tex].

(Type an integer or a simplified fraction)



Answer :

To find the probability that a randomly selected citizen, aged 25 or over, had 4 years of high school only, we can follow these steps:

1. Identify the total population aged 25 and over:
From the table, the total population aged 25 and over is given in the "Total" column and row, which is 157 (millions).

2. Identify the population with 4 years of high school only:
This value is found in the column labeled "4 Years High School Only" and row "Total," which is 51 (millions).

3. Calculate the probability:
Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this context, the favorable outcome is the population with 4 years of high school only (51 millions), and the total number of outcomes is the total population aged 25 and over (157 millions).

[tex]\[ \text{Probability} = \frac{\text{Population with 4 Years of High School Only}}{\text{Total Population Aged 25 and Over}} = \frac{51}{157} \][/tex]

4. Simplify the fraction, if possible:
In this case, the fraction [tex]\(\frac{51}{157}\)[/tex] is already in its simplest form.

Therefore, the probability that a randomly selected citizen, aged 25 or over, had 4 years of high school only is [tex]\(\frac{51}{157}\)[/tex].