document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117991>Question 1117991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dawn and Mike play the following game. Dawn picks a card from a deck of cards. If she selects a black king, Mike will give her $25. If not, she has to give Mike $2. Should Dawn play this game? What is her expected value?\r<BR>\n" );
document.write( "\n" );
document.write( "P.S. - If you can answer this question, can you please explain/show me how to solve this problem using the \"Expected Value\" formula which is, \"E = P1xA1 +P2xA2 + P3xA3\"? Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733178 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=733178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What's the probability of drawing a black king?<BR>\n" );
document.write( "There are two of them in a standard deck of 52 cards so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28BK%29=2%2F52=1%2F26 ALIGN=MIDDLE  ALT=\"P%28BK%29=2%2F52=1%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the complement or the probability of not drawing a black king is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28NBK%29=1-1%2F26=25%2F26 ALIGN=MIDDLE  ALT=\"P%28NBK%29=1-1%2F26=25%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Her expected earnings would then be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=%281%2F26%29%2825%29-%2825%2F26%29%282%29 ALIGN=MIDDLE  ALT=\"E=%281%2F26%29%2825%29-%2825%2F26%29%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=25%2F26-2%2825%2F26%29 ALIGN=MIDDLE  ALT=\"E=25%2F26-2%2825%2F26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=-25%2F26 ALIGN=MIDDLE  ALT=\"E=-25%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So she should expect to lose about 96 cents each time she plays. <BR>\n" );
document.write( "She probably shouldn't play this game unless she likes to lose.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );