document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086129>Question 1086129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression P(A and B) = P(A)P(B|A) is valid if\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "only if A equals B'.\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "for any events A and B.\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "A and B are dependent.\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "A and B are mutually exclusive.\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "A and B are independent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700287 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "The expression P(A and B) = P(A)P(B|A) is valid if<BR>\n" );
document.write( "only if A equals B'.<BR>\n" );
document.write( "for any events A and B.<BR>\n" );
document.write( "A and B are dependent.<BR>\n" );
document.write( "A and B are mutually exclusive.<BR>\n" );
document.write( "A and B are independent.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "By definition<BR>\n" );
document.write( "P(B|A)=P(B&cap;A)/P(A), without conditions on any of the events.<BR>\n" );
document.write( "so the expression given is true for all A and B. </SPAN>\n" );
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