Question

the table shows the educational attainment of the population in a certain country, ages 25 and over, expressed in millions. find the probability that a randomly selected person, aged 25 or over, has not completed four years (or more) of college.

	years of high school		years of college		total
male	12	33	18	22	85
female	15	24	23	20	82
total	27	57	41	42	167

the probability is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Find the number of people who have not completed four years (or more) of college

The number of people who have not completed four years (or more) of college is the sum of the number of people in "Less than 4" years of high - school, "4 only" years of high - school, and "Some (less than 4)" years of college.

$$27 + 57+41=125$$

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of elements in event \(A\) and \(n(S)\) is the number of elements in the sample space. Here, \(n(A) = 125\) (number of people who have not completed 4 or more years of college) and \(n(S)=167\) (total number of people).

$$P=\frac{125}{167}$$

Answer:

\(\frac{125}{167}\)