The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. Find the probability that an employee of the company is married and has a college degree. 0.0667 0.833 0.333 0.667 0.567

To find the probability that an employee is married and has a college degree, we start by calculating the total number of employees who have a college degree and their marital status. There are 400 employees with college degrees. Out of the 100 single employees, 60 of them are college graduates. Therefore, the number of single employees with no college degree is 100 - 60 = 40. Now, the total number of college graduates who are married can be found by subtracting the single college graduates from the total number of college graduates: 400 (total college graduates) - 60 (single college graduates) = 340 married college graduates. To find the probability, we use the formula: \[ P(\text{married and college degree}) = \frac{\text{Number of married college graduates}}{\text{Total employees}} = \frac{340}{600} \approx 0.5667. \] So, the probability that an employee is married and has a college degree is approximately 0.567. Therefore, the correct answer is **0.567**.