document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210443>Question 1210443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Giving a test to a group of students, the grades and gender are summarized below<BR>\n" );
document.write( "A  B  C  Total<BR>\n" );
document.write( "Male 16 22 32 70<BR>\n" );
document.write( "Female 13 17 25 55<BR>\n" );
document.write( "Total 29 39 57 125<BR>\n" );
document.write( "Determine the following probabilities. Write your answers as reduced fractions.<BR>\n" );
document.write( "We randomly select a student. What is the probability that this student got a B?<BR>\n" );
document.write( "P =<BR>\n" );
document.write( "We randomly select a student. What is the probability that this student is a male who got a B?<BR>\n" );
document.write( "P =<BR>\n" );
document.write( "We randomly select a male student. What is the probability that he got a B?<BR>\n" );
document.write( "P<BR>\n" );
document.write( "We randomly select a student who got a B. What is the probability that this student is a male?<BR>\n" );
document.write( "P = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852602 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3835)</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=852602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD >A</TD><TD >B</TD><TD >C</TD><TD >Total</TD></tr><tr><TD >Male</TD><TD >16</TD><TD >22</TD><TD >32</TD><TD >70</TD></tr><tr><TD >Female</TD><TD >13</TD><TD >17</TD><TD >25</TD><TD >55</TD></tr><tr><TD >Total</TD><TD >29</TD><TD >39</TD><TD >57</TD><TD >125</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We randomly select a student. What is the probability that this student got a B?<BR>\n" );
document.write( "P = (number who got a B)/(number total)<BR>\n" );
document.write( "P = <font color=red>39/125</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We randomly select a student. What is the probability that this student is a male who got a B?<BR>\n" );
document.write( "P = (number of men who got a B)/(number total)<BR>\n" );
document.write( "P = <font color=red>22/125</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We randomly select a male student. What is the probability that he got a B?<BR>\n" );
document.write( "P = (number of men who got a B)/(number of men)<BR>\n" );
document.write( "P = 22/70<BR>\n" );
document.write( "P = <font color=red>11/35</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We randomly select a student who got a B. What is the probability that this student is a male?<BR>\n" );
document.write( "P = (number of men who got a B)/(number who got a B)<BR>\n" );
document.write( "P = <font color=red>22/39</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );