Should we advertise?

Sanjoy's imaginary billion dollar company advertises only in magazines. An analysis made by his marketing team shows that of all potential customers, only 20% buy their products. Of the customers that buy, exactly 35% have seen the ads. Of the customers that don’t buy, exactly 40% have seen the ads. To the nearest hundredth, what is the conditional probability that those who have seen the ads will buy the product?

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