document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039888>Question 1039888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These probability questions are a duzy for me.  Can you help \r<BR>\n" );
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document.write( "More odds. 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 p/(p + q). \r<BR>\n" );
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document.write( " Suppose the odds in favor of an event are 8 to 5. \r<BR>\n" );
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document.write( "What is the probability that the event will occur? Give the probability as a decimal.\r<BR>\n" );
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document.write( "(Fill in the blank below and round your answer to 3 decimal places.)\r<BR>\n" );
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document.write( " The probability that the event will occur is .  \r<BR>\n" );
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document.write( "What is the probability that the event will not occur? Give the probability as a decimal.\r<BR>\n" );
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document.write( "(Fill in the blank below and round your answer to 3 decimal places.)\r<BR>\n" );
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document.write( " The probability that the event will not occur is .\r<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 #654646 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=654646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3>\r<BR>\n" );
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document.write( "Let's say we conduct 13 trials. 8 of those trials has the event happen, while the other 5 trials is where the event doesn't happen.\r<BR>\n" );
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document.write( "That's exactly what it means when they say \"odds in favor are 8:5\"\r<BR>\n" );
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document.write( "In this case, p = 8 and q = 5\r<BR>\n" );
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document.write( "p/(p+q) = 8/(8+5) = 8/13 = 0.615 (use a calculator for the last step)\r<BR>\n" );
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document.write( "The probability of the event occurring is <font size=5 color=red>0.615</font>\r<BR>\n" );
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document.write( "Subtract this value from 1 to get the probability of the event not occurring. \r<BR>\n" );
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document.write( "1 - 0.615 = 0.385\r<BR>\n" );
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document.write( "The probability of the event NOT occurring is <font size=5 color=red>0.385</font> \r<BR>\n" );
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