document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195585>Question 1195585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Giving a test to a group of students, the grades and gender are summarized below\r<BR>\n" );
document.write( "\n" );
document.write( "A	B	C	Total<BR>\n" );
document.write( "Male	8	2	5	15<BR>\n" );
document.write( "Female	19	14	9	42<BR>\n" );
document.write( "Total	27	16	14	57<BR>\n" );
document.write( "If one student was chosen at random, determine the following probabilities. Write your answers as reduced fractions.\r<BR>\n" );
document.write( "\n" );
document.write( "P<BR>\n" );
document.write( " (Student was male) = <BR>\n" );
document.write( "  <BR>\n" );
document.write( "P<BR>\n" );
document.write( " (Student was female) = <BR>\n" );
document.write( "  <BR>\n" );
document.write( "P<BR>\n" );
document.write( " (Student was male and got an \"A\") = <BR>\n" );
document.write( "  <BR>\n" );
document.write( "P<BR>\n" );
document.write( " (Student was female and got a \"B\") = <BR>\n" );
document.write( "  <BR>\n" );
document.write( "P<BR>\n" );
document.write( " (Student got a \"C\") = <BR>\n" );
document.write( "  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828121 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</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=828121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Table:<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 >8</TD><TD >2</TD><TD >5</TD><TD >15</TD></tr><tr><TD >Female</TD><TD >19</TD><TD >14</TD><TD >9</TD><TD >42</TD></tr><tr><TD >Total</TD><TD >27</TD><TD >16</TD><TD >14</TD><TD >57</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the table to answer the following shown below.<BR>\n" );
document.write( "The final answers are marked in <font color=red>red</font>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(male) = (number of males)/(number total)<BR>\n" );
document.write( "P(male) = 15/57<BR>\n" );
document.write( "P(male) = (3*5)/(3*19)<BR>\n" );
document.write( "P(male) = <font color=red>5/19</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(female) = (number of females)/(number total)<BR>\n" );
document.write( "P(female) = 42/57<BR>\n" );
document.write( "P(female) = (3*14)/(3*19)<BR>\n" );
document.write( "P(female) = <font color=red>14/19</font><BR>\n" );
document.write( "Or you could say<BR>\n" );
document.write( "P(male) + P(female) = 1<BR>\n" );
document.write( "P(female) = 1 - P(male)<BR>\n" );
document.write( "P(female) = 1 - 5/19<BR>\n" );
document.write( "P(female) = 19/19 - 5/19<BR>\n" );
document.write( "P(female) = (19 - 5)/19<BR>\n" );
document.write( "P(female) = <font color=red>14/19</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(male & got an A) = (number of males who got an A)/(number total)<BR>\n" );
document.write( "P(male & got an A) = <font color=red>8/57</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(female & got an B) = (number of females who got a B)/(number total)<BR>\n" );
document.write( "P(female & got an B) = <font color=red>14/57</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(student got a C) = (number who got a C)/(number total)<BR>\n" );
document.write( "P(student got a C) = <font color=red>14/57</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );