document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250672>Question 250672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A card is selected from a standard deck of 52 playing cards.  Find the probability of selecting:\r<BR>\n" );
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document.write( "1.  not a nine given the card is a diamond.\r<BR>\n" );
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document.write( "2.  a heart given the card is black.\r<BR>\n" );
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document.write( "3.  a six, given that the card is not red.\r<BR>\n" );
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document.write( "Show step-by-step work.  Give all solutions exactly in reduced fraction from. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182538 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=182538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "1.  Given that the card is a diamond, you are guaranteed that the card is one of a set of 13 diamonds.  One of those diamonds is a nine, the other 12 are not.  Hence <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{12}{13}\">.\r<BR>\n" );
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document.write( "2.  Given that the card is a black card, you are guaranteed that none of the cards is a heart.  Therefore: 0\r<BR>\n" );
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document.write( "3.  Given that the card is not red, you are guaranteed that the card is black.  There are thirteen spades one of which is a six and thirteen clubs one of which is a six.  There are two possible successes out of a total of twenty-six possibilities, hence <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2}{26}\ =\ \frac{1}{13}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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