A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales of customers that buy one can of paint and one roller, the probability that a customer will purchase latex paint is 0.79. Of those that purchase latex paint, 70% also purchase rollers. But only 20% of semigloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex? The probability that the paint is latex is (Type an integer or decimal rounded to three decimal places as needed.)