document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708703>Question 708703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A card is drawn at random from a standard deck of playing cards. What's the probability that it is not an ace or a heart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436201 by </B><A HREF=/tutors/aboutme.mpl?userid=Simnepi><B>Simnepi(216)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Simnepi><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=Simnepi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of an event NOT happening is 1 - the probability of the event happening.<BR>\n" );
document.write( "Eg. If there is a 25% chance of rain then the chance of NO rain is 1 - 25% (100% - 25%) = 75%<BR>\n" );
document.write( "So in this problem<BR>\n" );
document.write( "P{NOT ace OR heart}=1-P{ace OR heart}<BR>\n" );
document.write( "the chance of getting an ace is 4 out of 52 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F52 ALIGN=MIDDLE  ALT=\"4%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" >) (This includes the ace of hearts)<BR>\n" );
document.write( "the chance of getting a heart is 12 out of 52 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F52 ALIGN=MIDDLE  ALT=\"12%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" >) (can't include the ace in this as we've already counted it with the aces!)<BR>\n" );
document.write( "Adding these fractions together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F52%2B12%2F52=16%2F52 ALIGN=MIDDLE  ALT=\"4%2F52%2B12%2F52=16%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F13 ALIGN=MIDDLE  ALT=\"4%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so now we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28NOT_ace_OR_heart%29=1-4%2F13 ALIGN=MIDDLE  ALT=\"P%28NOT_ace_OR_heart%29=1-4%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "giving<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28NOT_ace_OR_heart%29=9%2F13 ALIGN=MIDDLE  ALT=\"P%28NOT_ace_OR_heart%29=9%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );