document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085166>Question 1085166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lecturer wants to select two students at random from a class of 7 males and 3 females. What is the probability the two students chosen are female?\r<BR>\n" );
document.write( "\n" );
document.write( "Select one:<BR>\n" );
document.write( "A. 0.09<BR>\n" );
document.write( "B. 0.22<BR>\n" );
document.write( "C. 0.3<BR>\n" );
document.write( "D. 0.67 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699205 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > represent the event that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=first ALIGN=MIDDLE  ALT=\"first\"   DISABLED_style= \"max-width:90%; height:auto;\" > student is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=female ALIGN=MIDDLE  ALT=\"female\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28A%29+=+3%2F10+=+.30 ALIGN=MIDDLE  ALT=\"+P%28A%29+=+3%2F10+=+.30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " What about the second student?<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+ ALIGN=MIDDLE  ALT=\"B+\"   DISABLED_style= \"max-width:90%; height:auto;\" >represent the event that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=second ALIGN=MIDDLE  ALT=\"second\"   DISABLED_style= \"max-width:90%; height:auto;\" > student is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=female ALIGN=MIDDLE  ALT=\"female\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Because the same student in the first class can be picked again for the second class <BR>\n" );
document.write( "P(B | A) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28B%29+=+3%2F10+=+.30 ALIGN=MIDDLE  ALT=\"P%28B%29+=+3%2F10+=+.30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "What is the probability that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=two ALIGN=MIDDLE  ALT=\"two\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+students ALIGN=MIDDLE  ALT=\"+students\"   DISABLED_style= \"max-width:90%; height:auto;\" > chosen are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=female ALIGN=MIDDLE  ALT=\"female\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
document.write( "\n" );
document.write( "Thus, we want to answer the question: what is P(A and B) ? \r<BR>\n" );
document.write( "\n" );
document.write( "P(A and B) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28A%29%2AP%28B%29+=+%283%2F10%29%283%2F10%29+=+9%2F100+=+.09 ALIGN=MIDDLE  ALT=\"P%28A%29%2AP%28B%29+=+%283%2F10%29%283%2F10%29+=+9%2F100+=+.09\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so,there is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >% chance that the replacement professor will choose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=two ALIGN=MIDDLE  ALT=\"two\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=female ALIGN=MIDDLE  ALT=\"female\"   DISABLED_style= \"max-width:90%; height:auto;\" > students from his two classes\r<BR>\n" );
document.write( "\n" );
document.write( "and your answer is: A. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09 ALIGN=MIDDLE  ALT=\"0.09\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );