document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187194>Question 187194</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321331793/algebrahomeworkh>A problem sovling approach to mathematics for elementary school teachers</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> given: P(A) = 2/3,  P(B)=1/2, P(B/A) = 1/3<BR>\n" );
document.write( "find: P(A/B) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140373 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=140373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given: P(A) = 2/3, P(B)=1/2, P(B|A) = 1/3<BR>\n" );
document.write( "find: P(A|B)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Find<BR>\n" );
document.write( "P(A|B) = P(A and B)/P(B)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "We know P(B|A) = P(B and A)/P(A) = 1/3<BR>\n" );
document.write( "P(B and A)/(2/3) = 1/3<BR>\n" );
document.write( "P(B and A) = 2/9<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "So, P(A|B) = (2/9)/(1/2) = 4/9<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );