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 #184504 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For this problem old means 25 or older and F means female.<BR>\n" );
document.write( "Refer to the Venn diagram below.<BR>\n" );
document.write( "2/5 are female, the entire red circle.<BR>\n" );
document.write( "1/3 are old,  the entire green circle<BR>\n" );
document.write( "5/8 are F or old. This is a union of the red and green circles and includes the intersection of the circles.<BR>\n" );
document.write( "Let the intersection of the circles be x.<BR>\n" );
document.write( "The red circle left of the intersection is 2/5 - x.<BR>\n" );
document.write( "The green circle to the right of the intersection is 1/3 - x.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2/5 - x) + (1/3 - x) + x = 5/8<BR>\n" );
document.write( "-x + 11/15 = 5/8<BR>\n" );
document.write( "-x=-13/120<BR>\n" );
document.write( "x=.1083... Probability prisoner selected at random is F and old.\r<BR>\n" );
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document.write( "Ed<BR>\n" );
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