QUESTION IMAGE
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 | |||
|---|---|---|---|---|---|
| male | 14 | 33 | 19 | 23 | 89 |
| female | 13 | 28 | 24 | 25 | 90 |
| total | 27 | 61 | 43 | 48 | 179 |
the probability is
(type an integer or a simplified fraction.)
Step1: Identify favorable outcomes
The number of people who have completed four - years of high school only or some college (less than four years) is the sum of those who have 4 years of high school only and those who have some college (less than 4 years). So, \(61 + 43=104\).
Step2: Identify total outcomes
The total number of people in the population (aged 25 and over) is 179.
Step3: Calculate probability
The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P = \frac{104}{179}\).
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\(\frac{104}{179}\)