Dengue fever viruses are carried by mosquitoes. There are several different serotypes of the dengue virus and one study showed that of all mosquitoes that carried serotype A a proportion of 0.1 also carried serotype B. If the proportion of serotypes A and B in the mosquito population are 0.1 and 0.96, what is the probability that a randomly selected mosquito carrying serotype B also carries serotype A?

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