document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588430>Question 588430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three cards are drawn from a well shuffled deck. what is the probability that : <BR>\n" );
document.write( "a) all are black ?<BR>\n" );
document.write( "b) exactly one is a diamond ?<BR>\n" );
document.write( "c) all are hearts ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374519 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the deck has 52 cards.<BR>\n" );
document.write( "Combination=nCr=n!/((n-r!)*r!)<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "26 cards are black<BR>\n" );
document.write( "(26C3)/(52C3) = 2/17<BR>\n" );
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document.write( "b)<BR>\n" );
document.write( "13 cards are diamonds and 39 cards are non diamonds.<BR>\n" );
document.write( "((13C1)(39C2))/52C3 = 741/1700<BR>\n" );
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document.write( "c)<BR>\n" );
document.write( "13C3/52C3 = 11/850<BR>\n" );
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document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );