Question

the table shows the educational attainment of the population of a country, ages 25 and over, expressed in millions. find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or some college, but less than four years.

	years of high school	years of high school	years of college	years of college	total
male	14	27	20	19	80
female	11	31	24	16	82
total	25	58	44	35	162

the probability is
(type an integer or a simplified fraction.)

Explanation:

Step1: Find the number of favorable outcomes

The number of people who have completed four years of high school only is \(58\) million. The number of people who have some college (less than 4 years) is \(44\) million.
The number of favorable outcomes \(n = 58 + 44=102\)

Step2: Find the total number of outcomes

The total number of people (ages 25 and over) is \(162\) million, so \(N = 162\)

Step3: Calculate the probability

The probability \(P=\frac{n}{N}\). Substitute \(n = 102\) and \(N = 162\) into the formula:
\(P=\frac{102}{162}\)
Simplify the fraction. Divide both the numerator and the denominator by their greatest - common divisor. The GCD of \(102\) and \(162\) is \(6\).
\(P=\frac{102\div6}{162\div6}=\frac{17}{27}\)

Answer:

\(\frac{17}{27}\)