document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394618>Question 394618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.Among employees of a certain firm, 70% know C/C++, 60% know Java, and 50% know both languages. What portion of programmers\r<BR>\n" );
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document.write( "a.	does not know Java?<BR>\n" );
document.write( "b.	does not know Java and C/C++?<BR>\n" );
document.write( "c.	knows C/C++ but not Java?<BR>\n" );
document.write( "d.	knows Java but not C++?<BR>\n" );
document.write( "e.	If someone knows Java, what is the probability that he/she knows C/C++?<BR>\n" );
document.write( "f.	If someone knows C/C++, what is the probability that he/she knows Java?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280050 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3.Among employees of a certain firm, 70% know C/C++, 60% know Java, and 50% know both languages. What portion of programmers <BR>\n" );
document.write( "a. does not know Java?<BR>\n" );
document.write( "=1-0.6=0.4 <BR>\n" );
document.write( "b. does not know Java and C/C++?<BR>\n" );
document.write( "know only C/C++=.7-.5=.2, know only java=.6-.5=0.1, know both=0.5<BR>\n" );
document.write( "knows java or C/C++=.2+.5+.1=0.8<BR>\n" );
document.write( "neither=1-.8=0.2<BR>\n" );
document.write( "c. knows C/C++ but not Java?<BR>\n" );
document.write( ".7-.5=0.2<BR>\n" );
document.write( "d. knows Java but not C++?<BR>\n" );
document.write( ".6-.5=0.1<BR>\n" );
document.write( "e. If someone knows Java, what is the probability that he/she knows C/C++?<BR>\n" );
document.write( "P(C/java)=P(both)/P(java)=0.5/.6=5/6<BR>\n" );
document.write( "f. If someone knows C/C++, what is the probability that he/she knows Java?\r<BR>\n" );
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document.write( "P(java/C)=P(both)/P(C)=0.5/.7=5/7<BR>\n" );
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