document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919160>Question 919160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Helena Maksimovik, the human resources director for a company, is given the task of hiring 2 salespeople from four candidates. From their resumes, the candidates could be ranked as follows: 1)Noel, 2)Sara, 3)Emil, 4)Fran. It is 2 days before Helena's scheduled vacation and she does not want to take the time to go through a formal interview process. Instead, she decides to hire 2 of the candidates at random. <BR>\n" );
document.write( "Determine the probability that the selection will include: <BR>\n" );
document.write( "a) At least one of the top 2 candidates<BR>\n" );
document.write( "b) Both of the top 2 candidates<BR>\n" );
document.write( "c) Neither of the top 2 candidates<BR>\n" );
document.write( "d) Emil, if you know Sara has been selected<BR>\n" );
document.write( "e) Either Emil or Fran, if you know Sara has been selected </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557666 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4C2 = 6 PAIRINGS:  12,13,14,23,24,34<BR>\n" );
document.write( "a) P(At least one of the top 2 candidates) = 1 - P(neither) = 1- 1/6 = 5/6<BR>\n" );
document.write( "b) P(Both of the top 2 candidates) = 1/6<BR>\n" );
document.write( "c) P(Neither of the top 2 candidates) = 1/6<BR>\n" );
document.write( "P(A|B) = P(A and B)/P(B)<BR>\n" );
document.write( "d) P(3 |2) =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2F%283%2F6%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%2F%283%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1/3\r<BR>\n" );
document.write( "\n" );
document.write( "e) P(3 0r 4 |2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F6%29%2F%283%2F6%29 ALIGN=MIDDLE  ALT=\"%282%2F6%29%2F%283%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );