document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193485>Question 1193485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that E and F are two events and that P(E)=0.4 and P(F|E)=0.5. What is P(E and F)​? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825514 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> recall that\r<BR>\n" );
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document.write( "P(F|E) = P(E an dF)/P(E) \r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "P(E)=0.4 \r<BR>\n" );
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document.write( " P(F|E)=0.5\r<BR>\n" );
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document.write( "substitute in equation above\r<BR>\n" );
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document.write( " 0.5 = P(E and F)/0.4  \r<BR>\n" );
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document.write( " 0.4 *0.5 = P(E and F) \r<BR>\n" );
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document.write( "  P(E and F)=0.2 \r<BR>\n" );
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document.write( " </SPAN>\n" );
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