document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252540>Question 252540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 the 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184500 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 the 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?<BR>\n" );
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document.write( "P(F and >=25) = P(F)+P(>=25)-P(F or >=25)<BR>\n" );
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document.write( "= (1-(3/5))+(1-(2/3))-(5/8)<BR>\n" );
document.write( "= (2/5)+(1/3)-(5/8)<BR>\n" );
document.write( "= (24+40-15)/120<BR>\n" );
document.write( "= 49/120<BR>\n" );
document.write( "= 0.4083..<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );