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 or over, has completed four years of high school only or some college, but less than four years.

male
female
total

years of high school
less than 4
16
16
32

4 only
26
13
39

years of college
some (less than 4)
21
25
46

4 or more
17
22
39

total
80
66
146

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

Explanation:

Step1: Identify relevant values

We want the number of people who completed four - years of high school only or some college (less than 4 years). The number of people who completed 4 years of high school only is 65 million, and the number of people with some college (less than 4 years) is 46 million. So the number of favorable outcomes $n = 65+46=111$ million. The total number of people in the population (total number of outcomes) is 176 million.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{n}{N}$, where $n$ is the number of favorable outcomes and $N$ is the total number of outcomes. So $P = \frac{111}{176}$.

Answer:

$\frac{111}{176}$