document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710392>Question 710392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the probability of event A given that:\r<BR>\n" );
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document.write( "(a) the odds in favor of A are 3:2\r<BR>\n" );
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document.write( "(b) the odds against A are  4:1<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 #436981 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=436981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the probability of event A given that: <BR>\n" );
document.write( "(a) the odds in favor of A are 3:2<BR>\n" );
document.write( "Note: odds for = P(A)/P(not A)<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "P(A)/P(not A) = 3/2<BR>\n" );
document.write( "2P(A) - 3P(not A) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2P(A) - 3(1 - P(A)) = 0<BR>\n" );
document.write( "2P(A) -3 + 3P(A) = 0<BR>\n" );
document.write( "5P(A) = 3<BR>\n" );
document.write( "P(A) = 3/5<BR>\n" );
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document.write( "(b) the odds against A are 4:1<BR>\n" );
document.write( "P(A) = 1/5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
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