SOLUTION: 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 6/8 of the inmates are female

Algebra ->  Probability-and-statistics -> SOLUTION: 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 6/8 of the inmates are female      Log On


   

Question 1172481: 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 6/8 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?
Answer by ewatrrr(24785) About Me  (Show Source):
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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 6/8 of the inmates are female or 25 years of age or older.


Hi  

	< 25	>=25	Total	

Male			highlight_green%283%2F5%29	

Female			2/5	

Total	highlight_green%282%2F3%29	1/3						

What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?

P = highlight_green%28+%282%2F5%29%281%2F3%29=+2%2F15%29or+.1333



Following an ex of inmate population of 1200

	< 25	>=25	Total	

Male	480	240	720	

Female	320	160	480	

Total	800	400   1200

 160/1200 = 2/15