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Of all the River Club members in a particular city, 45% prefer swimming on weekends...

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Of all the River Club members in a particular city, 45% prefer swimming on weekends and 55% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming and are female. The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is? Show your work.

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