The following table shows US employment figures for August 2
The following table shows U.S. employment figures for August 2011, broken down by educational attainment. All numbers are in millions, and represent civilians aged 25 years and over. Those classed as \"not in labor force\" were not employed nor actively seeking employment.
Find the probability that a person had attained a bachelors degree or higher, given that the person was employed. Round your answer to two decimal places.
| Employed | Unemployed | Not in Labor Force | Total | |
|---|---|---|---|---|
| Less Than High School Diploma | 9.9 | 1.6 | 17.7 | 29.2 |
| High School Diploma Only | 34.1 | 3.5 | 24.4 | 62.0 |
| Some College or Associate\'s Degree | 34.4 | 3.0 | 15.6 | 53.0 |
| Bachelor\'s Degree or Higher | 46.4 | 2.0 | 12.2 | 60.6 |
| Total | 124.8 | 10.1 | 69.9 | 204.8 |
Solution
probability that a person had attained a bachelors degree or higher, given that the person was employed
= probability that a person had attained a bachelors degree or higher and is employed / probability that a person is employed
= (46.4 / 204.8) / (124.8 / 204.8) = 46.4 / 124.8 = 0.37
Answer: 0.37
