Question

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 college.

the probability that a randomly selected citizen, aged 25 or over, had 4 years of college is
(type an integer or a simplified fraction.)

	male	female	total
4 years high school only	24	30	54
some college (less than 4 years)	17	25	42
4 years college (or more)	22	20	42
total	75	93	168

Explanation:

Step1: Determine the formula for probability

The formula for probability is \( P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

Step2: Identify the number of favorable outcomes and total number of outcomes

The number of citizens with 4 years of college (favorable outcomes) is \( 42\) (from the table). The total number of citizens (total outcomes) is \( 168\).

Step3: Calculate the probability

Substitute the values into the formula: \( P = \frac{42}{168}\). Simplify the fraction. Divide numerator and denominator by \(42\), we get \( \frac{42\div42}{168\div42}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)