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There were 6 male and 10 female contestants in the final around of a singing contest....

There were 6 male and 10 female contestants in the final around of a singing contest. For the wildcard, the organizers will choose a random male or female contes- tant (50% chance each) from one of the disqualified contestants. If the first contestant to perform is chosen at random, what is the probability that the wildcard contestant was a male, given that the first performer is a female?
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