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, was a female with some college (less than 4 years).

the probability that a randomly selected citizen, aged 25 or over, was a female with some college (less than 4 years) is
(type an integer or a simplified fraction)

	male	female	total
4 years high school only	22	24	45
some college (less than 4 years)	19	21	40
college 4 years (or more)	21	17	38
total	74	76	150

Explanation:

Step1: Identify the number of favorable outcomes

The number of females with some college (less than 4 years) is \(21\) (from the table).

Step2: Identify the total number of outcomes

The total number of citizens (aged 25 or over) is \(150\) (from the table).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P = \frac{21}{150}\).

Step4: Simplify the fraction

Divide both the numerator and the denominator by \(3\). \(\frac{21\div3}{150\div3}=\frac{7}{50}\).

Answer:

\(\frac{7}{50}\)