Hydro Flask, a company that specializes in stainless steel water bottles, offers a lifetime warranty on its products. Bottle A comprised 58% of Hydro Flasks sales, while Bottle B made up the other 42%. 7.5% of Bottle A sales used the warranty, and 3.2% of Bottle B sales used the warranty.

Given the prior probabilities and the conditional probabilities, what is the joint probability that the bottle is Bottle A and requires the use of the warranty? Specify your result as a proportion with four decimals and no units.