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A government agency has 6,000 employees. The employees were asked whether they preferred a four-day work week (10 hours per day), a five-day work week (8 hours per day), or flexible hours. You are given information on the employees' responses broken down by gender.

Male Female Total
Four days 800 1,000 1,800
Five days 800 1,200 2,000
Flexible 400 1,800 2,200
Total 2,000 4,000 6,000

What would the probability of a female being for flexible hours have to be if gender and preference were independent?

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