document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130332>Question 1130332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We can calculate odds if we know the probability. But we can also go the other way. Suppose the odds in favor of an event are 3 to 2. We can interpret this as saying that there are three (equally likely) favorable outcomes and two unfavorable ones. That is a total of five outcomes. So the probability of the event occurring is 3/5. In general, if the odds in favor are p to q, then the probability is <BR>\n" );
document.write( "p/(p + q).<BR>\n" );
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document.write( "Suppose the odds against an event are 5 to 7. What is the probability that the event will occur? (Give the probability as a decimal. Round your answer to three decimal places.)<BR>\n" );
document.write( "The probability that the event will occur is  <BR>\n" );
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document.write( "What is the probability that the event will not occur? (Give the probability as a decimal. Round your answer to three decimal places.)<BR>\n" );
document.write( "The probability that the event will not occur is  <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 #746996 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5:7 are odds against<BR>\n" );
document.write( "7:5 are the odds for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F%28+7%2B5+%29+=+7%2F12+ ALIGN=MIDDLE  ALT=\"+7%2F%28+7%2B5+%29+=+7%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F12+=+.583+ ALIGN=MIDDLE  ALT=\"+7%2F12+=+.583+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is the P that event will occur<BR>\n" );
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document.write( "5:7 are odds against<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F12+=+.417+ ALIGN=MIDDLE  ALT=\"+5%2F12+=+.417+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "is P event will not happen<BR>\n" );
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