In a certain federal prison, it is known that 2/3 of the inmates are under 25 years of age. It is also known that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?
Let denotes the event "inmate is under 25 years of age".
Let denotes the event "inmate is a male".
Let denotes the event "inmate is a female".
Given
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