document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387673>Question 387673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).<BR>\n" );
document.write( "       rolling a sum of 9 on two fair six sided dice <BR>\n" );
document.write( "       drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card. <BR>\n" );
document.write( "       rolling a sum of 11 on two fair six sided dice <BR>\n" );
document.write( "       drawing a king out of a standard 52 card deck given it’s a face card. <BR>\n" );
document.write( "       rolling a sum of 10 on two fair six sided dice<BR>\n" );
document.write( "  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275551 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=275551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"rolling a sum of 9 on two fair six sided dice \"<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36 ALIGN=MIDDLE  ALT=\"36\"   DISABLED_style= \"max-width:90%; height:auto;\" > (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2 ALIGN=MIDDLE  ALT=\"6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) possible outcomes.<BR>\n" );
document.write( "(3,6)<BR>\n" );
document.write( "(4,5)<BR>\n" );
document.write( "(5,4)<BR>\n" );
document.write( "(6,3)<BR>\n" );
document.write( "Four of them sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%289%29=4%2F36=1%2F9 ALIGN=MIDDLE  ALT=\"P%289%29=4%2F36=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card\" <BR>\n" );
document.write( "There are 12 face cards.<BR>\n" );
document.write( "There is 1 Queen of Diamonds.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28QD%2CF%29=1%2F12 ALIGN=MIDDLE  ALT=\"P%28QD%2CF%29=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "     \"rolling a sum of 11 on two fair six sided dice\" <BR>\n" );
document.write( "(5,6)<BR>\n" );
document.write( "(6,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2811%29=2%2F36=1%2F18%29 ALIGN=MIDDLE  ALT=\"P%2811%29=2%2F36=1%2F18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"drawing a king out of a standard 52 card deck given it’s a face card\" <BR>\n" );
document.write( "There are 12 face cards.<BR>\n" );
document.write( "There are 4 Kings.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28K%2CF%29=4%2F12=1%2F3 ALIGN=MIDDLE  ALT=\"P%28K%2CF%29=4%2F12=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"rolling a sum of 10 on two fair six sided dice\"<BR>\n" );
document.write( "(4,6)<BR>\n" );
document.write( "(5,5)<BR>\n" );
document.write( "(6,4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2810%29=3%2F36=1%2F12 ALIGN=MIDDLE  ALT=\"P%2810%29=3%2F36=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "No two pairs match in their probabilities.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );