document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384642>Question 384642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given that p(a)=0.4, p(b)=0.4, and p(a and b)=0.10, determine 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 #272333 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=272333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the idea that \r<BR>\n" );
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document.write( "P(A | B) = P(A and B)/P(B), this means that \r<BR>\n" );
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document.write( "p(a|b) = p(a and b)/p(b)\r<BR>\n" );
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document.write( "p(a|b) = 0.10/0.4=0.25\r<BR>\n" );
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document.write( "So p(a|b) = 0.25 </SPAN>\n" );
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