document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197569>Question 1197569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a recent election there were 1000 eligible voters. They were asked to on two issues, A and B. The results were as follows: 200 people voted for A, 400 people voted for B, and 25 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities:\r<BR>\n" );
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document.write( "1. The person voted for A, given that they voted for B.<BR>\n" );
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document.write( "2. The person voted for B, given that they voted for A.<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 #830879 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=830879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Problem 1\r<BR>\n" );
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document.write( "This is what the chart of values looks like<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >Voted for A</TD><TD >Did not vote for A</TD><TD >Total</TD></tr><tr><TD >Voted for B</TD><TD >25</TD><TD >375</TD><TD >400</TD></tr><tr><TD >Did not vote for B</TD><TD >175</TD><TD >425</TD><TD >600</TD></tr><tr><TD >Total</TD><TD >200</TD><TD >800</TD><TD >1000</TD></tr>\n" );
document.write( "</TABLE>The phrasing \"given they voted for B\" means we focus on the \"voted for B\" row.\r<BR>\n" );
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document.write( "We have 400 people who voted for B.<BR>\n" );
document.write( "Of this total, 25 also voted for A<BR>\n" );
document.write( "25/400 = 1/16\r<BR>\n" );
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document.write( "Answer: <font color=red>1/16</font>\r<BR>\n" );
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document.write( "Problem 2\r<BR>\n" );
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document.write( "Refer to the chart in problem 1.\r<BR>\n" );
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document.write( "This time we focus on the \"voted for A\" column since we know 100% the person voted for this candidate.\r<BR>\n" );
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document.write( "Of the 200 people who voted for issue A, 25 voted for issue B.<BR>\n" );
document.write( "25/200 = 1/8\r<BR>\n" );
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document.write( "Answer: <font color=red>1/8</font><BR>\n" );
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