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 college	total
	less than 4	4 only	some (less than 4)	4 or more
male	11	30	21	24	86
female	11	31	25	16	83
total	22	61	46	40	169

the probability is \boxed{}.
(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 \(61\) million. The number of people who have completed some college (but less than four years) is \(46\) million.
So the number of favorable outcomes \(n = 61+46=107\)

Step2: Find the total number of outcomes

The total number of people (aged 25 or over) is \(N = 169\) million

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{n}{N}\)
Substitute \(n = 107\) and \(N=169\) into the formula: \(P=\frac{107}{169}\)

Answer:

\(\frac{107}{169}\)