document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346137>Question 346137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A game consists of tossing a fair die and then (blindly) selecting a card from a 52 card deck. You win the to prize if the top number on your tossed die is a 1 and you draw a red card. What are the odds against your winning the top prize?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247561 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=247561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's calculate the odds of actually winning first.<BR>\n" );
document.write( "P(1 on die)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(red card)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F52=1%2F2 ALIGN=MIDDLE  ALT=\"26%2F52=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(1 and red)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%281%2F2%29=1%2F12 ALIGN=MIDDLE  ALT=\"%281%2F6%29%281%2F2%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then <BR>\n" );
document.write( "P(not(1 and red))+P(1 and red)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(not(1 and red))=1-P(1 and red)<BR>\n" );
document.write( "P(not(1 and red))=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-1%2F12 ALIGN=MIDDLE  ALT=\"1-1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(not(1 and red))=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F12 ALIGN=MIDDLE  ALT=\"11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the chances of not winning are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F12 ALIGN=MIDDLE  ALT=\"11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In terms of odds, there is 1 chance of winning, 11 chances of not winning.<BR>\n" );
document.write( "Odds are 11:1 against winning.\r<BR>\n" );
document.write( "<BR>\n" );
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