document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117768>Question 1117768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three cards are selected at random from a standard deck of 52 playing cards. Determine the probability that all three cards are: <BR>\n" );
document.write( "a)<BR>\n" );
document.write( "Hearts <BR>\n" );
document.write( "b)<BR>\n" );
document.write( "Black<BR>\n" );
document.write( "c)<BR>\n" );
document.write( "Aces<BR>\n" );
document.write( "d)Face cards </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732909 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=732909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "There are 13 hearts in a deck of 52 standard playing cards.\r<BR>\n" );
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document.write( "There are 13 ways to draw a heart from a full deck of 52, so the probability of a heart on the first draw is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{4}\">.  Once you have drawn the first heart, then there are only 12 hearts left in a deck of 51 cards, so <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{12}{51}\">, and for the third card, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{11}{50}\">.  Since these are three independent events, the probability of all three occurring is the product of the three individual probabilities.  You can do your own arithmetic.\r<BR>\n" );
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document.write( "The other problems are solved exactly the same way.  In a standard deck, 26 out of 52 are black cards, 4 out of 52 are Aces, and 12 out of 52 are face cards.\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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