A government agency has 6000 employees. As an alternative to the traditional five-day work week, employees were asked whether they preferred a four-day work week (10 hours per day) or flexible hours. The table below shows the results by age category.
Age Cat Prefers 4-day week Prefers Felx Hours
under 30 600 300
30-45 1200 1500
Over 45 2100 300
What is the probability that an employee at this government agency prefers a four-day work week?