document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012311>Question 1012311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jamey wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " 	In favor	Opposed	Undecided<BR>\n" );
document.write( "Grade 9	5	3	9<BR>\n" );
document.write( "Grade 10	8	12	9<BR>\n" );
document.write( "Grade 11	15	16	10<BR>\n" );
document.write( "Grade 12	12	6	11\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the principal randomly selects a student in grade 9 from this survey, what is the probability that the student is in favor of extending the school day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628220 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=628220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given Table:\r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  border=1>\n" );
document.write( "<tr><th></th><th>In Favor</th><th>Opposed</th><th>Undecided</th></tr><tr><th>Grade 9</th><TD >5</TD><TD >3</TD><TD >9</TD></tr><tr><th>Grade 10</th><TD >8</TD><TD >12</TD><TD >9</TD></tr><tr><th>Grade 11</th><TD >15</TD><TD >16</TD><TD >10</TD></tr><tr><th>Grade 12</th><TD >12</TD><TD >6</TD><TD >11</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Let's add on the totals (row totals and column totals). These values represent the sum along the rows or columns. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  border=1>\n" );
document.write( "<tr><th></th><th>In Favor</th><th>Opposed</th><th>Undecided</th><th>Total</th></tr><tr><th>Grade 9</th><TD >5</TD><TD >3</TD><TD >9</TD><TD >17</TD></tr><tr><th>Grade 10</th><TD >8</TD><TD >12</TD><TD >9</TD><TD >29</TD></tr><tr><th>Grade 11</th><TD >15</TD><TD >16</TD><TD >10</TD><TD >41</TD></tr><tr><th>Grade 12</th><TD >12</TD><TD >6</TD><TD >11</TD><TD >29</TD></tr><tr><th>Total</th><TD >40</TD><TD >37</TD><TD >39</TD><TD >116</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "\"If the principal randomly selects a student in grade 9 from this survey\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we're just focusing on the \"grade 9\" row. There are 17 students in this grade. There are 5 who are in favor, so\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(In favor | grade 9) = (# who are in grade 9 AND in favor)/(# who are in grade 9)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(In favor | grade 9) = 5/17\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As a fraction, the probability is 5/17<BR>\n" );
document.write( "As a decimal, the probability is approximately 0.2941176 (used a calculator)<BR>\n" );
document.write( "As a percentage, the probability is approximately 29.41176% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );