document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020190>Question 1020190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom and Sam are playing a game. Tom selects one card from a standard 52-card deck. If Tom selects a face card (Jack, Queen, or King), Sam pays him $4. If Tom selects any other type of card, he pays Sam $3.\r<BR>\n" );
document.write( "\n" );
document.write( "a) What is Tom's expected value for this game? Round your answer to the nearest cent. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) What is Sam's expected value for this game? Round your answer to the nearest cent.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) Who has the advantage in this game?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636168 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 52 cards in the deck.<BR>\n" );
document.write( "12 of them are J, Q, or K.<BR>\n" );
document.write( "40 of them are not.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a)The expected value to Tom is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5BT%5D=%2812%2F52%29%284%29-%2840%2F52%29%283%29=0.92-2.31=-1.38 ALIGN=MIDDLE  ALT=\"E%5BT%5D=%2812%2F52%29%284%29-%2840%2F52%29%283%29=0.92-2.31=-1.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) The expected value for Sam is negative Tom's expected value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5BS%5D=1.38 ALIGN=MIDDLE  ALT=\"E%5BS%5D=1.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c) Sam has the advantage.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );